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Finding the Third Proportional to 148,327.50 and 319,754.25

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Solution

The third proportional to 148,327.50 and 319,754.25 is: 689,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,327.50 : 319,754.25 = 319,754.25 : x
  2. Step 2: Convert to fraction form
    148,327.50/319,754.25 = 319,754.25/x
  3. Step 3: Cross multiply
    148,327.50x = 319,754.25 × 319,754.25
  4. Step 4: Simplify right side
    148,327.50x = 102,242,780,393.06
  5. Step 5: Solve for x
    x = 102,242,780,393.06/148,327.50
  6. Step 6: Final answer
    x = 689,304.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.