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Finding the Third Proportional to 252,756.38 and 550,147.13

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Solution

The third proportional to 252,756.38 and 550,147.13 is: 1,197,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,756.38 : 550,147.13 = 550,147.13 : x
  2. Step 2: Convert to fraction form
    252,756.38/550,147.13 = 550,147.13/x
  3. Step 3: Cross multiply
    252,756.38x = 550,147.13 × 550,147.13
  4. Step 4: Simplify right side
    252,756.38x = 302,661,859,145.77
  5. Step 5: Solve for x
    x = 302,661,859,145.77/252,756.38
  6. Step 6: Final answer
    x = 1,197,445.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.