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Finding the Third Proportional to 144,992 and 217,482

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Solution

The third proportional to 144,992 and 217,482 is: 326,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992 : 217,482 = 217,482 : x
  2. Step 2: Convert to fraction form
    144,992/217,482 = 217,482/x
  3. Step 3: Cross multiply
    144,992x = 217,482 × 217,482
  4. Step 4: Simplify right side
    144,992x = 47,298,420,324
  5. Step 5: Solve for x
    x = 47,298,420,324/144,992
  6. Step 6: Final answer
    x = 326,214.00

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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.