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Finding the Third Proportional to 245,031.75 and 367,647.75

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Solution

The third proportional to 245,031.75 and 367,647.75 is: 551,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,031.75 : 367,647.75 = 367,647.75 : x
  2. Step 2: Convert to fraction form
    245,031.75/367,647.75 = 367,647.75/x
  3. Step 3: Cross multiply
    245,031.75x = 367,647.75 × 367,647.75
  4. Step 4: Simplify right side
    245,031.75x = 135,164,868,080.06
  5. Step 5: Solve for x
    x = 135,164,868,080.06/245,031.75
  6. Step 6: Final answer
    x = 551,621.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.