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Finding the Third Proportional to 162,023.25 and 218,117.25

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Solution

The third proportional to 162,023.25 and 218,117.25 is: 293,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,023.25 : 218,117.25 = 218,117.25 : x
  2. Step 2: Convert to fraction form
    162,023.25/218,117.25 = 218,117.25/x
  3. Step 3: Cross multiply
    162,023.25x = 218,117.25 × 218,117.25
  4. Step 4: Simplify right side
    162,023.25x = 47,575,134,747.56
  5. Step 5: Solve for x
    x = 47,575,134,747.56/162,023.25
  6. Step 6: Final answer
    x = 293,631.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.