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Finding the Third Proportional to 96,464 and 200,320

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Solution

The third proportional to 96,464 and 200,320 is: 415,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,464 : 200,320 = 200,320 : x
  2. Step 2: Convert to fraction form
    96,464/200,320 = 200,320/x
  3. Step 3: Cross multiply
    96,464x = 200,320 × 200,320
  4. Step 4: Simplify right side
    96,464x = 40,128,102,400
  5. Step 5: Solve for x
    x = 40,128,102,400/96,464
  6. Step 6: Final answer
    x = 415,990.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.