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Finding the Third Proportional to 98,257 and 210,522

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Solution

The third proportional to 98,257 and 210,522 is: 451,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,257 : 210,522 = 210,522 : x
  2. Step 2: Convert to fraction form
    98,257/210,522 = 210,522/x
  3. Step 3: Cross multiply
    98,257x = 210,522 × 210,522
  4. Step 4: Simplify right side
    98,257x = 44,319,512,484
  5. Step 5: Solve for x
    x = 44,319,512,484/98,257
  6. Step 6: Final answer
    x = 451,057.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.