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Finding the Third Proportional to 74,304 and 155,952

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Solution

The third proportional to 74,304 and 155,952 is: 327,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,304 : 155,952 = 155,952 : x
  2. Step 2: Convert to fraction form
    74,304/155,952 = 155,952/x
  3. Step 3: Cross multiply
    74,304x = 155,952 × 155,952
  4. Step 4: Simplify right side
    74,304x = 24,321,026,304
  5. Step 5: Solve for x
    x = 24,321,026,304/74,304
  6. Step 6: Final answer
    x = 327,317.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.