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Finding the Third Proportional to 98,464 and 214,750

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Solution

The third proportional to 98,464 and 214,750 is: 468,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464 : 214,750 = 214,750 : x
  2. Step 2: Convert to fraction form
    98,464/214,750 = 214,750/x
  3. Step 3: Cross multiply
    98,464x = 214,750 × 214,750
  4. Step 4: Simplify right side
    98,464x = 46,117,562,500
  5. Step 5: Solve for x
    x = 46,117,562,500/98,464
  6. Step 6: Final answer
    x = 468,369.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.