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Finding the Third Proportional to 159,742.13 and 222,117.19

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Solution

The third proportional to 159,742.13 and 222,117.19 is: 308,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,742.13 : 222,117.19 = 222,117.19 : x
  2. Step 2: Convert to fraction form
    159,742.13/222,117.19 = 222,117.19/x
  3. Step 3: Cross multiply
    159,742.13x = 222,117.19 × 222,117.19
  4. Step 4: Simplify right side
    159,742.13x = 49,336,044,982.91
  5. Step 5: Solve for x
    x = 49,336,044,982.91/159,742.13
  6. Step 6: Final answer
    x = 308,848.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.