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Finding the Third Proportional to 158,785.31 and 238,155.19

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Solution

The third proportional to 158,785.31 and 238,155.19 is: 357,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,785.31 : 238,155.19 = 238,155.19 : x
  2. Step 2: Convert to fraction form
    158,785.31/238,155.19 = 238,155.19/x
  3. Step 3: Cross multiply
    158,785.31x = 238,155.19 × 238,155.19
  4. Step 4: Simplify right side
    158,785.31x = 56,717,893,333.16
  5. Step 5: Solve for x
    x = 56,717,893,333.16/158,785.31
  6. Step 6: Final answer
    x = 357,198.61

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Why These Related Problems?

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