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Finding the Third Proportional to 96,348 and 210,180

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Solution

The third proportional to 96,348 and 210,180 is: 458,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348 : 210,180 = 210,180 : x
  2. Step 2: Convert to fraction form
    96,348/210,180 = 210,180/x
  3. Step 3: Cross multiply
    96,348x = 210,180 × 210,180
  4. Step 4: Simplify right side
    96,348x = 44,175,632,400
  5. Step 5: Solve for x
    x = 44,175,632,400/96,348
  6. Step 6: Final answer
    x = 458,500.77

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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.