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Finding the Third Proportional to 182,127 and 275,731

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Solution

The third proportional to 182,127 and 275,731 is: 417,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,127 : 275,731 = 275,731 : x
  2. Step 2: Convert to fraction form
    182,127/275,731 = 275,731/x
  3. Step 3: Cross multiply
    182,127x = 275,731 × 275,731
  4. Step 4: Simplify right side
    182,127x = 76,027,584,361
  5. Step 5: Solve for x
    x = 76,027,584,361/182,127
  6. Step 6: Final answer
    x = 417,442.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.