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Finding the Third Proportional to 98,597 and 212,458

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Solution

The third proportional to 98,597 and 212,458 is: 457,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,597 : 212,458 = 212,458 : x
  2. Step 2: Convert to fraction form
    98,597/212,458 = 212,458/x
  3. Step 3: Cross multiply
    98,597x = 212,458 × 212,458
  4. Step 4: Simplify right side
    98,597x = 45,138,401,764
  5. Step 5: Solve for x
    x = 45,138,401,764/98,597
  6. Step 6: Final answer
    x = 457,807.05

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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.