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Finding the Third Proportional to 98,344 and 210,712

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Solution

The third proportional to 98,344 and 210,712 is: 451,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344 : 210,712 = 210,712 : x
  2. Step 2: Convert to fraction form
    98,344/210,712 = 210,712/x
  3. Step 3: Cross multiply
    98,344x = 210,712 × 210,712
  4. Step 4: Simplify right side
    98,344x = 44,399,546,944
  5. Step 5: Solve for x
    x = 44,399,546,944/98,344
  6. Step 6: Final answer
    x = 451,471.84

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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.