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Finding the Third Proportional to 169,560 and 368,712

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Solution

The third proportional to 169,560 and 368,712 is: 801,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,560 : 368,712 = 368,712 : x
  2. Step 2: Convert to fraction form
    169,560/368,712 = 368,712/x
  3. Step 3: Cross multiply
    169,560x = 368,712 × 368,712
  4. Step 4: Simplify right side
    169,560x = 135,948,538,944
  5. Step 5: Solve for x
    x = 135,948,538,944/169,560
  6. Step 6: Final answer
    x = 801,772.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.