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Finding the Third Proportional to 132,672 and 205,344

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Solution

The third proportional to 132,672 and 205,344 is: 317,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,672 : 205,344 = 205,344 : x
  2. Step 2: Convert to fraction form
    132,672/205,344 = 205,344/x
  3. Step 3: Cross multiply
    132,672x = 205,344 × 205,344
  4. Step 4: Simplify right side
    132,672x = 42,166,158,336
  5. Step 5: Solve for x
    x = 42,166,158,336/132,672
  6. Step 6: Final answer
    x = 317,822.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.