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Finding the Third Proportional to 98,257 and 210,534

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Solution

The third proportional to 98,257 and 210,534 is: 451,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,257 : 210,534 = 210,534 : x
  2. Step 2: Convert to fraction form
    98,257/210,534 = 210,534/x
  3. Step 3: Cross multiply
    98,257x = 210,534 × 210,534
  4. Step 4: Simplify right side
    98,257x = 44,324,565,156
  5. Step 5: Solve for x
    x = 44,324,565,156/98,257
  6. Step 6: Final answer
    x = 451,108.47

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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.