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Finding the Third Proportional to 107,226 and 226,548

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Solution

The third proportional to 107,226 and 226,548 is: 478,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,226 : 226,548 = 226,548 : x
  2. Step 2: Convert to fraction form
    107,226/226,548 = 226,548/x
  3. Step 3: Cross multiply
    107,226x = 226,548 × 226,548
  4. Step 4: Simplify right side
    107,226x = 51,323,996,304
  5. Step 5: Solve for x
    x = 51,323,996,304/107,226
  6. Step 6: Final answer
    x = 478,652.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.