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Finding the Third Proportional to 147,855.38 and 231,639.75

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Solution

The third proportional to 147,855.38 and 231,639.75 is: 362,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,855.38 : 231,639.75 = 231,639.75 : x
  2. Step 2: Convert to fraction form
    147,855.38/231,639.75 = 231,639.75/x
  3. Step 3: Cross multiply
    147,855.38x = 231,639.75 × 231,639.75
  4. Step 4: Simplify right side
    147,855.38x = 53,656,973,780.06
  5. Step 5: Solve for x
    x = 53,656,973,780.06/147,855.38
  6. Step 6: Final answer
    x = 362,901.75

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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.