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Finding the Third Proportional to 162,470.50 and 252,565.50

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Solution

The third proportional to 162,470.50 and 252,565.50 is: 392,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,470.50 : 252,565.50 = 252,565.50 : x
  2. Step 2: Convert to fraction form
    162,470.50/252,565.50 = 252,565.50/x
  3. Step 3: Cross multiply
    162,470.50x = 252,565.50 × 252,565.50
  4. Step 4: Simplify right side
    162,470.50x = 63,789,331,790.25
  5. Step 5: Solve for x
    x = 63,789,331,790.25/162,470.50
  6. Step 6: Final answer
    x = 392,621.01

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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.