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Finding the Third Proportional to 125,345 and 275,494

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Solution

The third proportional to 125,345 and 275,494 is: 605,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,345 : 275,494 = 275,494 : x
  2. Step 2: Convert to fraction form
    125,345/275,494 = 275,494/x
  3. Step 3: Cross multiply
    125,345x = 275,494 × 275,494
  4. Step 4: Simplify right side
    125,345x = 75,896,944,036
  5. Step 5: Solve for x
    x = 75,896,944,036/125,345
  6. Step 6: Final answer
    x = 605,504.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.