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Finding the Third Proportional to 144,830 and 217,026

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Solution

The third proportional to 144,830 and 217,026 is: 325,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830 : 217,026 = 217,026 : x
  2. Step 2: Convert to fraction form
    144,830/217,026 = 217,026/x
  3. Step 3: Cross multiply
    144,830x = 217,026 × 217,026
  4. Step 4: Simplify right side
    144,830x = 47,100,284,676
  5. Step 5: Solve for x
    x = 47,100,284,676/144,830
  6. Step 6: Final answer
    x = 325,210.83

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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.