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Finding the Third Proportional to 169,793.40 and 229,778.81

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Solution

The third proportional to 169,793.40 and 229,778.81 is: 310,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,793.40 : 229,778.81 = 229,778.81 : x
  2. Step 2: Convert to fraction form
    169,793.40/229,778.81 = 229,778.81/x
  3. Step 3: Cross multiply
    169,793.40x = 229,778.81 × 229,778.81
  4. Step 4: Simplify right side
    169,793.40x = 52,798,299,981.19
  5. Step 5: Solve for x
    x = 52,798,299,981.19/169,793.40
  6. Step 6: Final answer
    x = 310,956.13

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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.