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Finding the Third Proportional to 78,327 and 160,801.88

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Solution

The third proportional to 78,327 and 160,801.88 is: 330,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327 : 160,801.88 = 160,801.88 : x
  2. Step 2: Convert to fraction form
    78,327/160,801.88 = 160,801.88/x
  3. Step 3: Cross multiply
    78,327x = 160,801.88 × 160,801.88
  4. Step 4: Simplify right side
    78,327x = 25,857,243,003.52
  5. Step 5: Solve for x
    x = 25,857,243,003.52/78,327
  6. Step 6: Final answer
    x = 330,119.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.