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Finding the Third Proportional to 250,644.25 and 541,239.50

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Solution

The third proportional to 250,644.25 and 541,239.50 is: 1,168,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,644.25 : 541,239.50 = 541,239.50 : x
  2. Step 2: Convert to fraction form
    250,644.25/541,239.50 = 541,239.50/x
  3. Step 3: Cross multiply
    250,644.25x = 541,239.50 × 541,239.50
  4. Step 4: Simplify right side
    250,644.25x = 292,940,196,360.25
  5. Step 5: Solve for x
    x = 292,940,196,360.25/250,644.25
  6. Step 6: Final answer
    x = 1,168,748.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.