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Finding the Third Proportional to 141,400.69 and 297,343.41

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Solution

The third proportional to 141,400.69 and 297,343.41 is: 625,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,400.69 : 297,343.41 = 297,343.41 : x
  2. Step 2: Convert to fraction form
    141,400.69/297,343.41 = 297,343.41/x
  3. Step 3: Cross multiply
    141,400.69x = 297,343.41 × 297,343.41
  4. Step 4: Simplify right side
    141,400.69x = 88,413,101,240.35
  5. Step 5: Solve for x
    x = 88,413,101,240.35/141,400.69
  6. Step 6: Final answer
    x = 625,266.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.