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Finding the Third Proportional to 125,335.50 and 270,649.50

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Solution

The third proportional to 125,335.50 and 270,649.50 is: 584,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,335.50 : 270,649.50 = 270,649.50 : x
  2. Step 2: Convert to fraction form
    125,335.50/270,649.50 = 270,649.50/x
  3. Step 3: Cross multiply
    125,335.50x = 270,649.50 × 270,649.50
  4. Step 4: Simplify right side
    125,335.50x = 73,251,151,850.25
  5. Step 5: Solve for x
    x = 73,251,151,850.25/125,335.50
  6. Step 6: Final answer
    x = 584,440.58

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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.