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Finding the Third Proportional to 142,616.32 and 213,480.25

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Solution

The third proportional to 142,616.32 and 213,480.25 is: 319,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,616.32 : 213,480.25 = 213,480.25 : x
  2. Step 2: Convert to fraction form
    142,616.32/213,480.25 = 213,480.25/x
  3. Step 3: Cross multiply
    142,616.32x = 213,480.25 × 213,480.25
  4. Step 4: Simplify right side
    142,616.32x = 45,573,815,472.25
  5. Step 5: Solve for x
    x = 45,573,815,472.25/142,616.32
  6. Step 6: Final answer
    x = 319,555.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.