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Finding the Third Proportional to 172,071 and 252,463.50

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Solution

The third proportional to 172,071 and 252,463.50 is: 370,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,071 : 252,463.50 = 252,463.50 : x
  2. Step 2: Convert to fraction form
    172,071/252,463.50 = 252,463.50/x
  3. Step 3: Cross multiply
    172,071x = 252,463.50 × 252,463.50
  4. Step 4: Simplify right side
    172,071x = 63,737,818,832.25
  5. Step 5: Solve for x
    x = 63,737,818,832.25/172,071
  6. Step 6: Final answer
    x = 370,415.81

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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.