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Finding the Third Proportional to 173,662 and 356,540

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Solution

The third proportional to 173,662 and 356,540 is: 732,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,662 : 356,540 = 356,540 : x
  2. Step 2: Convert to fraction form
    173,662/356,540 = 356,540/x
  3. Step 3: Cross multiply
    173,662x = 356,540 × 356,540
  4. Step 4: Simplify right side
    173,662x = 127,120,771,600
  5. Step 5: Solve for x
    x = 127,120,771,600/173,662
  6. Step 6: Final answer
    x = 732,001.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.