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Finding the Third Proportional to 174,986 and 361,637

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Solution

The third proportional to 174,986 and 361,637 is: 747,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,986 : 361,637 = 361,637 : x
  2. Step 2: Convert to fraction form
    174,986/361,637 = 361,637/x
  3. Step 3: Cross multiply
    174,986x = 361,637 × 361,637
  4. Step 4: Simplify right side
    174,986x = 130,781,319,769
  5. Step 5: Solve for x
    x = 130,781,319,769/174,986
  6. Step 6: Final answer
    x = 747,381.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.