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Finding the Third Proportional to 239,658 and 366,759

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Solution

The third proportional to 239,658 and 366,759 is: 561,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,658 : 366,759 = 366,759 : x
  2. Step 2: Convert to fraction form
    239,658/366,759 = 366,759/x
  3. Step 3: Cross multiply
    239,658x = 366,759 × 366,759
  4. Step 4: Simplify right side
    239,658x = 134,512,164,081
  5. Step 5: Solve for x
    x = 134,512,164,081/239,658
  6. Step 6: Final answer
    x = 561,267.16

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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.