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Finding the Third Proportional to 125,433 and 270,306

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Solution

The third proportional to 125,433 and 270,306 is: 582,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,433 : 270,306 = 270,306 : x
  2. Step 2: Convert to fraction form
    125,433/270,306 = 270,306/x
  3. Step 3: Cross multiply
    125,433x = 270,306 × 270,306
  4. Step 4: Simplify right side
    125,433x = 73,065,333,636
  5. Step 5: Solve for x
    x = 73,065,333,636/125,433
  6. Step 6: Final answer
    x = 582,504.87

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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.