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Finding the Third Proportional to 136,679 and 295,822

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Solution

The third proportional to 136,679 and 295,822 is: 640,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,679 : 295,822 = 295,822 : x
  2. Step 2: Convert to fraction form
    136,679/295,822 = 295,822/x
  3. Step 3: Cross multiply
    136,679x = 295,822 × 295,822
  4. Step 4: Simplify right side
    136,679x = 87,510,655,684
  5. Step 5: Solve for x
    x = 87,510,655,684/136,679
  6. Step 6: Final answer
    x = 640,264.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.