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Finding the Third Proportional to 125,652 and 270,985

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Solution

The third proportional to 125,652 and 270,985 is: 584,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,652 : 270,985 = 270,985 : x
  2. Step 2: Convert to fraction form
    125,652/270,985 = 270,985/x
  3. Step 3: Cross multiply
    125,652x = 270,985 × 270,985
  4. Step 4: Simplify right side
    125,652x = 73,432,870,225
  5. Step 5: Solve for x
    x = 73,432,870,225/125,652
  6. Step 6: Final answer
    x = 584,414.65

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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.