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Finding the Third Proportional to 136,017.49 and 319,933.55

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Solution

The third proportional to 136,017.49 and 319,933.55 is: 752,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,017.49 : 319,933.55 = 319,933.55 : x
  2. Step 2: Convert to fraction form
    136,017.49/319,933.55 = 319,933.55/x
  3. Step 3: Cross multiply
    136,017.49x = 319,933.55 × 319,933.55
  4. Step 4: Simplify right side
    136,017.49x = 102,357,474,416.02
  5. Step 5: Solve for x
    x = 102,357,474,416.02/136,017.49
  6. Step 6: Final answer
    x = 752,531.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.