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Finding the Third Proportional to 131,773.50 and 287,398.50

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Solution

The third proportional to 131,773.50 and 287,398.50 is: 626,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,773.50 : 287,398.50 = 287,398.50 : x
  2. Step 2: Convert to fraction form
    131,773.50/287,398.50 = 287,398.50/x
  3. Step 3: Cross multiply
    131,773.50x = 287,398.50 × 287,398.50
  4. Step 4: Simplify right side
    131,773.50x = 82,597,897,802.25
  5. Step 5: Solve for x
    x = 82,597,897,802.25/131,773.50
  6. Step 6: Final answer
    x = 626,817.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.