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Finding the Third Proportional to 169,368 and 361,228

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Solution

The third proportional to 169,368 and 361,228 is: 770,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,368 : 361,228 = 361,228 : x
  2. Step 2: Convert to fraction form
    169,368/361,228 = 361,228/x
  3. Step 3: Cross multiply
    169,368x = 361,228 × 361,228
  4. Step 4: Simplify right side
    169,368x = 130,485,667,984
  5. Step 5: Solve for x
    x = 130,485,667,984/169,368
  6. Step 6: Final answer
    x = 770,426.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.