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Finding the Third Proportional to 98,440 and 210,867

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Solution

The third proportional to 98,440 and 210,867 is: 451,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,440 : 210,867 = 210,867 : x
  2. Step 2: Convert to fraction form
    98,440/210,867 = 210,867/x
  3. Step 3: Cross multiply
    98,440x = 210,867 × 210,867
  4. Step 4: Simplify right side
    98,440x = 44,464,891,689
  5. Step 5: Solve for x
    x = 44,464,891,689/98,440
  6. Step 6: Final answer
    x = 451,695.36

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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.