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Finding the Third Proportional to 251,903.25 and 527,179.50

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Solution

The third proportional to 251,903.25 and 527,179.50 is: 1,103,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,903.25 : 527,179.50 = 527,179.50 : x
  2. Step 2: Convert to fraction form
    251,903.25/527,179.50 = 527,179.50/x
  3. Step 3: Cross multiply
    251,903.25x = 527,179.50 × 527,179.50
  4. Step 4: Simplify right side
    251,903.25x = 277,918,225,220.25
  5. Step 5: Solve for x
    x = 277,918,225,220.25/251,903.25
  6. Step 6: Final answer
    x = 1,103,273.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.