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Finding the Third Proportional to 156,320 and 241,952

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Solution

The third proportional to 156,320 and 241,952 is: 374,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,320 : 241,952 = 241,952 : x
  2. Step 2: Convert to fraction form
    156,320/241,952 = 241,952/x
  3. Step 3: Cross multiply
    156,320x = 241,952 × 241,952
  4. Step 4: Simplify right side
    156,320x = 58,540,770,304
  5. Step 5: Solve for x
    x = 58,540,770,304/156,320
  6. Step 6: Final answer
    x = 374,493.16

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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.