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Finding the Third Proportional to 172,632 and 369,250.50

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Solution

The third proportional to 172,632 and 369,250.50 is: 789,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,632 : 369,250.50 = 369,250.50 : x
  2. Step 2: Convert to fraction form
    172,632/369,250.50 = 369,250.50/x
  3. Step 3: Cross multiply
    172,632x = 369,250.50 × 369,250.50
  4. Step 4: Simplify right side
    172,632x = 136,345,931,750.25
  5. Step 5: Solve for x
    x = 136,345,931,750.25/172,632
  6. Step 6: Final answer
    x = 789,806.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.