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Finding the Third Proportional to 104,273.50 and 227,657.50

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Solution

The third proportional to 104,273.50 and 227,657.50 is: 497,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,273.50 : 227,657.50 = 227,657.50 : x
  2. Step 2: Convert to fraction form
    104,273.50/227,657.50 = 227,657.50/x
  3. Step 3: Cross multiply
    104,273.50x = 227,657.50 × 227,657.50
  4. Step 4: Simplify right side
    104,273.50x = 51,827,937,306.25
  5. Step 5: Solve for x
    x = 51,827,937,306.25/104,273.50
  6. Step 6: Final answer
    x = 497,038.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.