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Finding the Third Proportional to 254,279.25 and 542,295

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Solution

The third proportional to 254,279.25 and 542,295 is: 1,156,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,279.25 : 542,295 = 542,295 : x
  2. Step 2: Convert to fraction form
    254,279.25/542,295 = 542,295/x
  3. Step 3: Cross multiply
    254,279.25x = 542,295 × 542,295
  4. Step 4: Simplify right side
    254,279.25x = 294,083,867,025
  5. Step 5: Solve for x
    x = 294,083,867,025/254,279.25
  6. Step 6: Final answer
    x = 1,156,538.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.