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Finding the Third Proportional to 77,231 and 169,223

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Solution

The third proportional to 77,231 and 169,223 is: 370,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,231 : 169,223 = 169,223 : x
  2. Step 2: Convert to fraction form
    77,231/169,223 = 169,223/x
  3. Step 3: Cross multiply
    77,231x = 169,223 × 169,223
  4. Step 4: Simplify right side
    77,231x = 28,636,423,729
  5. Step 5: Solve for x
    x = 28,636,423,729/77,231
  6. Step 6: Final answer
    x = 370,789.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.