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Finding the Third Proportional to 132,066 and 284,666

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Solution

The third proportional to 132,066 and 284,666 is: 613,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,066 : 284,666 = 284,666 : x
  2. Step 2: Convert to fraction form
    132,066/284,666 = 284,666/x
  3. Step 3: Cross multiply
    132,066x = 284,666 × 284,666
  4. Step 4: Simplify right side
    132,066x = 81,034,731,556
  5. Step 5: Solve for x
    x = 81,034,731,556/132,066
  6. Step 6: Final answer
    x = 613,592.69

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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.