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Finding the Third Proportional to 152,883 and 324,267

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Solution

The third proportional to 152,883 and 324,267 is: 687,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,883 : 324,267 = 324,267 : x
  2. Step 2: Convert to fraction form
    152,883/324,267 = 324,267/x
  3. Step 3: Cross multiply
    152,883x = 324,267 × 324,267
  4. Step 4: Simplify right side
    152,883x = 105,149,087,289
  5. Step 5: Solve for x
    x = 105,149,087,289/152,883
  6. Step 6: Final answer
    x = 687,774.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.