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Finding the Third Proportional to 140,625 and 217,802.50

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Solution

The third proportional to 140,625 and 217,802.50 is: 337,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,625 : 217,802.50 = 217,802.50 : x
  2. Step 2: Convert to fraction form
    140,625/217,802.50 = 217,802.50/x
  3. Step 3: Cross multiply
    140,625x = 217,802.50 × 217,802.50
  4. Step 4: Simplify right side
    140,625x = 47,437,929,006.25
  5. Step 5: Solve for x
    x = 47,437,929,006.25/140,625
  6. Step 6: Final answer
    x = 337,336.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.