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Finding the Third Proportional to 143,661 and 227,368

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Solution

The third proportional to 143,661 and 227,368 is: 359,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,661 : 227,368 = 227,368 : x
  2. Step 2: Convert to fraction form
    143,661/227,368 = 227,368/x
  3. Step 3: Cross multiply
    143,661x = 227,368 × 227,368
  4. Step 4: Simplify right side
    143,661x = 51,696,207,424
  5. Step 5: Solve for x
    x = 51,696,207,424/143,661
  6. Step 6: Final answer
    x = 359,848.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.