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Finding the Third Proportional to 96,000 and 209,328

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Solution

The third proportional to 96,000 and 209,328 is: 456,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000 : 209,328 = 209,328 : x
  2. Step 2: Convert to fraction form
    96,000/209,328 = 209,328/x
  3. Step 3: Cross multiply
    96,000x = 209,328 × 209,328
  4. Step 4: Simplify right side
    96,000x = 43,818,211,584
  5. Step 5: Solve for x
    x = 43,818,211,584/96,000
  6. Step 6: Final answer
    x = 456,439.70

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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.