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Finding the Third Proportional to 189,201.50 and 292,982.50

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Solution

The third proportional to 189,201.50 and 292,982.50 is: 453,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,201.50 : 292,982.50 = 292,982.50 : x
  2. Step 2: Convert to fraction form
    189,201.50/292,982.50 = 292,982.50/x
  3. Step 3: Cross multiply
    189,201.50x = 292,982.50 × 292,982.50
  4. Step 4: Simplify right side
    189,201.50x = 85,838,745,306.25
  5. Step 5: Solve for x
    x = 85,838,745,306.25/189,201.50
  6. Step 6: Final answer
    x = 453,689.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.