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Finding the Third Proportional to 98,598 and 212,460

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Solution

The third proportional to 98,598 and 212,460 is: 457,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,598 : 212,460 = 212,460 : x
  2. Step 2: Convert to fraction form
    98,598/212,460 = 212,460/x
  3. Step 3: Cross multiply
    98,598x = 212,460 × 212,460
  4. Step 4: Simplify right side
    98,598x = 45,139,251,600
  5. Step 5: Solve for x
    x = 45,139,251,600/98,598
  6. Step 6: Final answer
    x = 457,811.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.