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Finding the Third Proportional to 158,536 and 217,392

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Solution

The third proportional to 158,536 and 217,392 is: 298,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,536 : 217,392 = 217,392 : x
  2. Step 2: Convert to fraction form
    158,536/217,392 = 217,392/x
  3. Step 3: Cross multiply
    158,536x = 217,392 × 217,392
  4. Step 4: Simplify right side
    158,536x = 47,259,281,664
  5. Step 5: Solve for x
    x = 47,259,281,664/158,536
  6. Step 6: Final answer
    x = 298,098.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.