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Finding the Third Proportional to 168,060 and 354,480

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Solution

The third proportional to 168,060 and 354,480 is: 747,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,060 : 354,480 = 354,480 : x
  2. Step 2: Convert to fraction form
    168,060/354,480 = 354,480/x
  3. Step 3: Cross multiply
    168,060x = 354,480 × 354,480
  4. Step 4: Simplify right side
    168,060x = 125,656,070,400
  5. Step 5: Solve for x
    x = 125,656,070,400/168,060
  6. Step 6: Final answer
    x = 747,685.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.