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Finding the Third Proportional to 158,140.13 and 252,925.88

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Solution

The third proportional to 158,140.13 and 252,925.88 is: 404,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,140.13 : 252,925.88 = 252,925.88 : x
  2. Step 2: Convert to fraction form
    158,140.13/252,925.88 = 252,925.88/x
  3. Step 3: Cross multiply
    158,140.13x = 252,925.88 × 252,925.88
  4. Step 4: Simplify right side
    158,140.13x = 63,971,498,244.52
  5. Step 5: Solve for x
    x = 63,971,498,244.52/158,140.13
  6. Step 6: Final answer
    x = 404,524.14

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.