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Finding the Third Proportional to 163,142 and 229,743

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Solution

The third proportional to 163,142 and 229,743 is: 323,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,142 : 229,743 = 229,743 : x
  2. Step 2: Convert to fraction form
    163,142/229,743 = 229,743/x
  3. Step 3: Cross multiply
    163,142x = 229,743 × 229,743
  4. Step 4: Simplify right side
    163,142x = 52,781,846,049
  5. Step 5: Solve for x
    x = 52,781,846,049/163,142
  6. Step 6: Final answer
    x = 323,533.16

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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.