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Finding the Third Proportional to 147,956.63 and 231,852.38

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Solution

The third proportional to 147,956.63 and 231,852.38 is: 363,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,956.63 : 231,852.38 = 231,852.38 : x
  2. Step 2: Convert to fraction form
    147,956.63/231,852.38 = 231,852.38/x
  3. Step 3: Cross multiply
    147,956.63x = 231,852.38 × 231,852.38
  4. Step 4: Simplify right side
    147,956.63x = 53,755,523,793.14
  5. Step 5: Solve for x
    x = 53,755,523,793.14/147,956.63
  6. Step 6: Final answer
    x = 363,319.48

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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.