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Finding the Third Proportional to 142,456.50 and 220,569.75

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Solution

The third proportional to 142,456.50 and 220,569.75 is: 341,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,456.50 : 220,569.75 = 220,569.75 : x
  2. Step 2: Convert to fraction form
    142,456.50/220,569.75 = 220,569.75/x
  3. Step 3: Cross multiply
    142,456.50x = 220,569.75 × 220,569.75
  4. Step 4: Simplify right side
    142,456.50x = 48,651,014,615.06
  5. Step 5: Solve for x
    x = 48,651,014,615.06/142,456.50
  6. Step 6: Final answer
    x = 341,514.88

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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.