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Finding the Third Proportional to 185,912.09 and 402,732.63

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Solution

The third proportional to 185,912.09 and 402,732.63 is: 872,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,912.09 : 402,732.63 = 402,732.63 : x
  2. Step 2: Convert to fraction form
    185,912.09/402,732.63 = 402,732.63/x
  3. Step 3: Cross multiply
    185,912.09x = 402,732.63 × 402,732.63
  4. Step 4: Simplify right side
    185,912.09x = 162,193,573,532.09
  5. Step 5: Solve for x
    x = 162,193,573,532.09/185,912.09
  6. Step 6: Final answer
    x = 872,420.82

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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.