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Finding the Third Proportional to 163,124 and 241,654

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Solution

The third proportional to 163,124 and 241,654 is: 357,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,124 : 241,654 = 241,654 : x
  2. Step 2: Convert to fraction form
    163,124/241,654 = 241,654/x
  3. Step 3: Cross multiply
    163,124x = 241,654 × 241,654
  4. Step 4: Simplify right side
    163,124x = 58,396,655,716
  5. Step 5: Solve for x
    x = 58,396,655,716/163,124
  6. Step 6: Final answer
    x = 357,989.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.