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Finding the Third Proportional to 147,855.75 and 231,638.25

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Solution

The third proportional to 147,855.75 and 231,638.25 is: 362,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,855.75 : 231,638.25 = 231,638.25 : x
  2. Step 2: Convert to fraction form
    147,855.75/231,638.25 = 231,638.25/x
  3. Step 3: Cross multiply
    147,855.75x = 231,638.25 × 231,638.25
  4. Step 4: Simplify right side
    147,855.75x = 53,656,278,863.06
  5. Step 5: Solve for x
    x = 53,656,278,863.06/147,855.75
  6. Step 6: Final answer
    x = 362,896.13

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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.