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Finding the Third Proportional to 177,498 and 268,095

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Solution

The third proportional to 177,498 and 268,095 is: 404,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,498 : 268,095 = 268,095 : x
  2. Step 2: Convert to fraction form
    177,498/268,095 = 268,095/x
  3. Step 3: Cross multiply
    177,498x = 268,095 × 268,095
  4. Step 4: Simplify right side
    177,498x = 71,874,929,025
  5. Step 5: Solve for x
    x = 71,874,929,025/177,498
  6. Step 6: Final answer
    x = 404,933.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.