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Finding the Third Proportional to 147,853.13 and 231,631.88

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Solution

The third proportional to 147,853.13 and 231,631.88 is: 362,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,853.13 : 231,631.88 = 231,631.88 : x
  2. Step 2: Convert to fraction form
    147,853.13/231,631.88 = 231,631.88/x
  3. Step 3: Cross multiply
    147,853.13x = 231,631.88 × 231,631.88
  4. Step 4: Simplify right side
    147,853.13x = 53,653,325,516.02
  5. Step 5: Solve for x
    x = 53,653,325,516.02/147,853.13
  6. Step 6: Final answer
    x = 362,882.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.