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Finding the Third Proportional to 172,972.50 and 375,468

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Solution

The third proportional to 172,972.50 and 375,468 is: 815,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972.50 : 375,468 = 375,468 : x
  2. Step 2: Convert to fraction form
    172,972.50/375,468 = 375,468/x
  3. Step 3: Cross multiply
    172,972.50x = 375,468 × 375,468
  4. Step 4: Simplify right side
    172,972.50x = 140,976,219,024
  5. Step 5: Solve for x
    x = 140,976,219,024/172,972.50
  6. Step 6: Final answer
    x = 815,020.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.