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Finding the Third Proportional to 158,437.13 and 344,198.25

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Solution

The third proportional to 158,437.13 and 344,198.25 is: 747,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,437.13 : 344,198.25 = 344,198.25 : x
  2. Step 2: Convert to fraction form
    158,437.13/344,198.25 = 344,198.25/x
  3. Step 3: Cross multiply
    158,437.13x = 344,198.25 × 344,198.25
  4. Step 4: Simplify right side
    158,437.13x = 118,472,435,303.06
  5. Step 5: Solve for x
    x = 118,472,435,303.06/158,437.13
  6. Step 6: Final answer
    x = 747,756.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.