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Finding the Third Proportional to 141,834.38 and 307,297.13

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Solution

The third proportional to 141,834.38 and 307,297.13 is: 665,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,834.38 : 307,297.13 = 307,297.13 : x
  2. Step 2: Convert to fraction form
    141,834.38/307,297.13 = 307,297.13/x
  3. Step 3: Cross multiply
    141,834.38x = 307,297.13 × 307,297.13
  4. Step 4: Simplify right side
    141,834.38x = 94,431,523,033.27
  5. Step 5: Solve for x
    x = 94,431,523,033.27/141,834.38
  6. Step 6: Final answer
    x = 665,787.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.