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Finding the Third Proportional to 182,646 and 396,315

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Solution

The third proportional to 182,646 and 396,315 is: 859,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,646 : 396,315 = 396,315 : x
  2. Step 2: Convert to fraction form
    182,646/396,315 = 396,315/x
  3. Step 3: Cross multiply
    182,646x = 396,315 × 396,315
  4. Step 4: Simplify right side
    182,646x = 157,065,579,225
  5. Step 5: Solve for x
    x = 157,065,579,225/182,646
  6. Step 6: Final answer
    x = 859,945.35

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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.