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Finding the Third Proportional to 239,656 and 366,756

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Solution

The third proportional to 239,656 and 366,756 is: 561,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,656 : 366,756 = 366,756 : x
  2. Step 2: Convert to fraction form
    239,656/366,756 = 366,756/x
  3. Step 3: Cross multiply
    239,656x = 366,756 × 366,756
  4. Step 4: Simplify right side
    239,656x = 134,509,963,536
  5. Step 5: Solve for x
    x = 134,509,963,536/239,656
  6. Step 6: Final answer
    x = 561,262.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.