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Finding the Third Proportional to 135,666 and 283,428

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Solution

The third proportional to 135,666 and 283,428 is: 592,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,666 : 283,428 = 283,428 : x
  2. Step 2: Convert to fraction form
    135,666/283,428 = 283,428/x
  3. Step 3: Cross multiply
    135,666x = 283,428 × 283,428
  4. Step 4: Simplify right side
    135,666x = 80,331,431,184
  5. Step 5: Solve for x
    x = 80,331,431,184/135,666
  6. Step 6: Final answer
    x = 592,126.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.