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Finding the Third Proportional to 178,864 and 369,248

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Solution

The third proportional to 178,864 and 369,248 is: 762,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,864 : 369,248 = 369,248 : x
  2. Step 2: Convert to fraction form
    178,864/369,248 = 369,248/x
  3. Step 3: Cross multiply
    178,864x = 369,248 × 369,248
  4. Step 4: Simplify right side
    178,864x = 136,344,085,504
  5. Step 5: Solve for x
    x = 136,344,085,504/178,864
  6. Step 6: Final answer
    x = 762,277.96

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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.