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Finding the Third Proportional to 124,238 and 272,883

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Solution

The third proportional to 124,238 and 272,883 is: 599,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,238 : 272,883 = 272,883 : x
  2. Step 2: Convert to fraction form
    124,238/272,883 = 272,883/x
  3. Step 3: Cross multiply
    124,238x = 272,883 × 272,883
  4. Step 4: Simplify right side
    124,238x = 74,465,131,689
  5. Step 5: Solve for x
    x = 74,465,131,689/124,238
  6. Step 6: Final answer
    x = 599,374.84

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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.