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Finding the Third Proportional to 141,424 and 297,390

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Solution

The third proportional to 141,424 and 297,390 is: 625,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,424 : 297,390 = 297,390 : x
  2. Step 2: Convert to fraction form
    141,424/297,390 = 297,390/x
  3. Step 3: Cross multiply
    141,424x = 297,390 × 297,390
  4. Step 4: Simplify right side
    141,424x = 88,440,812,100
  5. Step 5: Solve for x
    x = 88,440,812,100/141,424
  6. Step 6: Final answer
    x = 625,359.29

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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.