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Finding the Third Proportional to 158,304 and 232,272

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Solution

The third proportional to 158,304 and 232,272 is: 340,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,304 : 232,272 = 232,272 : x
  2. Step 2: Convert to fraction form
    158,304/232,272 = 232,272/x
  3. Step 3: Cross multiply
    158,304x = 232,272 × 232,272
  4. Step 4: Simplify right side
    158,304x = 53,950,281,984
  5. Step 5: Solve for x
    x = 53,950,281,984/158,304
  6. Step 6: Final answer
    x = 340,801.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.