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Finding the Third Proportional to 98,536 and 212,624

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Solution

The third proportional to 98,536 and 212,624 is: 458,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536 : 212,624 = 212,624 : x
  2. Step 2: Convert to fraction form
    98,536/212,624 = 212,624/x
  3. Step 3: Cross multiply
    98,536x = 212,624 × 212,624
  4. Step 4: Simplify right side
    98,536x = 45,208,965,376
  5. Step 5: Solve for x
    x = 45,208,965,376/98,536
  6. Step 6: Final answer
    x = 458,806.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.