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Finding the Third Proportional to 133,822 and 294,259

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Solution

The third proportional to 133,822 and 294,259 is: 647,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822 : 294,259 = 294,259 : x
  2. Step 2: Convert to fraction form
    133,822/294,259 = 294,259/x
  3. Step 3: Cross multiply
    133,822x = 294,259 × 294,259
  4. Step 4: Simplify right side
    133,822x = 86,588,359,081
  5. Step 5: Solve for x
    x = 86,588,359,081/133,822
  6. Step 6: Final answer
    x = 647,041.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.