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Finding the Third Proportional to 83,342.25 and 162,489.38

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Solution

The third proportional to 83,342.25 and 162,489.38 is: 316,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,342.25 : 162,489.38 = 162,489.38 : x
  2. Step 2: Convert to fraction form
    83,342.25/162,489.38 = 162,489.38/x
  3. Step 3: Cross multiply
    83,342.25x = 162,489.38 × 162,489.38
  4. Step 4: Simplify right side
    83,342.25x = 26,402,796,987.89
  5. Step 5: Solve for x
    x = 26,402,796,987.89/83,342.25
  6. Step 6: Final answer
    x = 316,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.