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Finding the Third Proportional to 254,195.25 and 542,167.50

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Solution

The third proportional to 254,195.25 and 542,167.50 is: 1,156,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,195.25 : 542,167.50 = 542,167.50 : x
  2. Step 2: Convert to fraction form
    254,195.25/542,167.50 = 542,167.50/x
  3. Step 3: Cross multiply
    254,195.25x = 542,167.50 × 542,167.50
  4. Step 4: Simplify right side
    254,195.25x = 293,945,598,056.25
  5. Step 5: Solve for x
    x = 293,945,598,056.25/254,195.25
  6. Step 6: Final answer
    x = 1,156,377.23

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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.