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Finding the Third Proportional to 163,134 and 229,731

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Solution

The third proportional to 163,134 and 229,731 is: 323,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,134 : 229,731 = 229,731 : x
  2. Step 2: Convert to fraction form
    163,134/229,731 = 229,731/x
  3. Step 3: Cross multiply
    163,134x = 229,731 × 229,731
  4. Step 4: Simplify right side
    163,134x = 52,776,332,361
  5. Step 5: Solve for x
    x = 52,776,332,361/163,134
  6. Step 6: Final answer
    x = 323,515.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.