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Finding the Third Proportional to 241,403 and 354,708

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Solution

The third proportional to 241,403 and 354,708 is: 521,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,403 : 354,708 = 354,708 : x
  2. Step 2: Convert to fraction form
    241,403/354,708 = 354,708/x
  3. Step 3: Cross multiply
    241,403x = 354,708 × 354,708
  4. Step 4: Simplify right side
    241,403x = 125,817,765,264
  5. Step 5: Solve for x
    x = 125,817,765,264/241,403
  6. Step 6: Final answer
    x = 521,193.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.