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Finding the Third Proportional to 172,005 and 252,949.50

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Solution

The third proportional to 172,005 and 252,949.50 is: 371,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,005 : 252,949.50 = 252,949.50 : x
  2. Step 2: Convert to fraction form
    172,005/252,949.50 = 252,949.50/x
  3. Step 3: Cross multiply
    172,005x = 252,949.50 × 252,949.50
  4. Step 4: Simplify right side
    172,005x = 63,983,449,550.25
  5. Step 5: Solve for x
    x = 63,983,449,550.25/172,005
  6. Step 6: Final answer
    x = 371,985.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.