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Finding the Third Proportional to 136,392 and 282,256

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Solution

The third proportional to 136,392 and 282,256 is: 584,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,392 : 282,256 = 282,256 : x
  2. Step 2: Convert to fraction form
    136,392/282,256 = 282,256/x
  3. Step 3: Cross multiply
    136,392x = 282,256 × 282,256
  4. Step 4: Simplify right side
    136,392x = 79,668,449,536
  5. Step 5: Solve for x
    x = 79,668,449,536/136,392
  6. Step 6: Final answer
    x = 584,113.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.