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Finding the Third Proportional to 157,909.50 and 209,641.50

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Solution

The third proportional to 157,909.50 and 209,641.50 is: 278,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.50 : 209,641.50 = 209,641.50 : x
  2. Step 2: Convert to fraction form
    157,909.50/209,641.50 = 209,641.50/x
  3. Step 3: Cross multiply
    157,909.50x = 209,641.50 × 209,641.50
  4. Step 4: Simplify right side
    157,909.50x = 43,949,558,522.25
  5. Step 5: Solve for x
    x = 43,949,558,522.25/157,909.50
  6. Step 6: Final answer
    x = 278,321.18

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.