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Finding the Third Proportional to 100,340 and 216,000

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Solution

The third proportional to 100,340 and 216,000 is: 464,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340 : 216,000 = 216,000 : x
  2. Step 2: Convert to fraction form
    100,340/216,000 = 216,000/x
  3. Step 3: Cross multiply
    100,340x = 216,000 × 216,000
  4. Step 4: Simplify right side
    100,340x = 46,656,000,000
  5. Step 5: Solve for x
    x = 46,656,000,000/100,340
  6. Step 6: Final answer
    x = 464,979.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.