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Finding the Third Proportional to 160,272 and 232,128

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Solution

The third proportional to 160,272 and 232,128 is: 336,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,272 : 232,128 = 232,128 : x
  2. Step 2: Convert to fraction form
    160,272/232,128 = 232,128/x
  3. Step 3: Cross multiply
    160,272x = 232,128 × 232,128
  4. Step 4: Simplify right side
    160,272x = 53,883,408,384
  5. Step 5: Solve for x
    x = 53,883,408,384/160,272
  6. Step 6: Final answer
    x = 336,199.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.