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Finding the Third Proportional to 131,098.50 and 287,469

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Solution

The third proportional to 131,098.50 and 287,469 is: 630,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,098.50 : 287,469 = 287,469 : x
  2. Step 2: Convert to fraction form
    131,098.50/287,469 = 287,469/x
  3. Step 3: Cross multiply
    131,098.50x = 287,469 × 287,469
  4. Step 4: Simplify right side
    131,098.50x = 82,638,425,961
  5. Step 5: Solve for x
    x = 82,638,425,961/131,098.50
  6. Step 6: Final answer
    x = 630,353.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.