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Finding the Third Proportional to 104,850 and 227,461

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Solution

The third proportional to 104,850 and 227,461 is: 493,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,850 : 227,461 = 227,461 : x
  2. Step 2: Convert to fraction form
    104,850/227,461 = 227,461/x
  3. Step 3: Cross multiply
    104,850x = 227,461 × 227,461
  4. Step 4: Simplify right side
    104,850x = 51,738,506,521
  5. Step 5: Solve for x
    x = 51,738,506,521/104,850
  6. Step 6: Final answer
    x = 493,452.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.