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Finding the Third Proportional to 98,532 and 212,616

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Solution

The third proportional to 98,532 and 212,616 is: 458,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 212,616 = 212,616 : x
  2. Step 2: Convert to fraction form
    98,532/212,616 = 212,616/x
  3. Step 3: Cross multiply
    98,532x = 212,616 × 212,616
  4. Step 4: Simplify right side
    98,532x = 45,205,563,456
  5. Step 5: Solve for x
    x = 45,205,563,456/98,532
  6. Step 6: Final answer
    x = 458,790.68

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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.