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Finding the Third Proportional to 144,964.50 and 216,771

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Solution

The third proportional to 144,964.50 and 216,771 is: 324,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.50 : 216,771 = 216,771 : x
  2. Step 2: Convert to fraction form
    144,964.50/216,771 = 216,771/x
  3. Step 3: Cross multiply
    144,964.50x = 216,771 × 216,771
  4. Step 4: Simplify right side
    144,964.50x = 46,989,666,441
  5. Step 5: Solve for x
    x = 46,989,666,441/144,964.50
  6. Step 6: Final answer
    x = 324,146.02

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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.