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Finding the Third Proportional to 144,684 and 216,880

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Solution

The third proportional to 144,684 and 216,880 is: 325,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,684 : 216,880 = 216,880 : x
  2. Step 2: Convert to fraction form
    144,684/216,880 = 216,880/x
  3. Step 3: Cross multiply
    144,684x = 216,880 × 216,880
  4. Step 4: Simplify right side
    144,684x = 47,036,934,400
  5. Step 5: Solve for x
    x = 47,036,934,400/144,684
  6. Step 6: Final answer
    x = 325,101.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.