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Finding the Third Proportional to 160,894.31 and 218,514.56

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Solution

The third proportional to 160,894.31 and 218,514.56 is: 296,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,894.31 : 218,514.56 = 218,514.56 : x
  2. Step 2: Convert to fraction form
    160,894.31/218,514.56 = 218,514.56/x
  3. Step 3: Cross multiply
    160,894.31x = 218,514.56 × 218,514.56
  4. Step 4: Simplify right side
    160,894.31x = 47,748,614,024.57
  5. Step 5: Solve for x
    x = 47,748,614,024.57/160,894.31
  6. Step 6: Final answer
    x = 296,770.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.