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Finding the Third Proportional to 169,786 and 350,332

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Solution

The third proportional to 169,786 and 350,332 is: 722,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,786 : 350,332 = 350,332 : x
  2. Step 2: Convert to fraction form
    169,786/350,332 = 350,332/x
  3. Step 3: Cross multiply
    169,786x = 350,332 × 350,332
  4. Step 4: Simplify right side
    169,786x = 122,732,510,224
  5. Step 5: Solve for x
    x = 122,732,510,224/169,786
  6. Step 6: Final answer
    x = 722,865.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.