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Finding the Third Proportional to 252,748.50 and 550,129.88

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Solution

The third proportional to 252,748.50 and 550,129.88 is: 1,197,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,748.50 : 550,129.88 = 550,129.88 : x
  2. Step 2: Convert to fraction form
    252,748.50/550,129.88 = 550,129.88/x
  3. Step 3: Cross multiply
    252,748.50x = 550,129.88 × 550,129.88
  4. Step 4: Simplify right side
    252,748.50x = 302,642,879,367.52
  5. Step 5: Solve for x
    x = 302,642,879,367.52/252,748.50
  6. Step 6: Final answer
    x = 1,197,407.22

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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.