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Finding the Third Proportional to 163,140 and 229,742

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Solution

The third proportional to 163,140 and 229,742 is: 323,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,140 : 229,742 = 229,742 : x
  2. Step 2: Convert to fraction form
    163,140/229,742 = 229,742/x
  3. Step 3: Cross multiply
    163,140x = 229,742 × 229,742
  4. Step 4: Simplify right side
    163,140x = 52,781,386,564
  5. Step 5: Solve for x
    x = 52,781,386,564/163,140
  6. Step 6: Final answer
    x = 323,534.31

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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.