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Finding the Third Proportional to 176,262 and 369,756

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Solution

The third proportional to 176,262 and 369,756 is: 775,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,262 : 369,756 = 369,756 : x
  2. Step 2: Convert to fraction form
    176,262/369,756 = 369,756/x
  3. Step 3: Cross multiply
    176,262x = 369,756 × 369,756
  4. Step 4: Simplify right side
    176,262x = 136,719,499,536
  5. Step 5: Solve for x
    x = 136,719,499,536/176,262
  6. Step 6: Final answer
    x = 775,660.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.