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Finding the Third Proportional to 125,288.25 and 194,298

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Solution

The third proportional to 125,288.25 and 194,298 is: 301,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,288.25 : 194,298 = 194,298 : x
  2. Step 2: Convert to fraction form
    125,288.25/194,298 = 194,298/x
  3. Step 3: Cross multiply
    125,288.25x = 194,298 × 194,298
  4. Step 4: Simplify right side
    125,288.25x = 37,751,712,804
  5. Step 5: Solve for x
    x = 37,751,712,804/125,288.25
  6. Step 6: Final answer
    x = 301,318.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.