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Finding the Third Proportional to 125,894.25 and 270,499.50

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Solution

The third proportional to 125,894.25 and 270,499.50 is: 581,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,894.25 : 270,499.50 = 270,499.50 : x
  2. Step 2: Convert to fraction form
    125,894.25/270,499.50 = 270,499.50/x
  3. Step 3: Cross multiply
    125,894.25x = 270,499.50 × 270,499.50
  4. Step 4: Simplify right side
    125,894.25x = 73,169,979,500.25
  5. Step 5: Solve for x
    x = 73,169,979,500.25/125,894.25
  6. Step 6: Final answer
    x = 581,201.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.