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Finding the Third Proportional to 135,056 and 286,758

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Solution

The third proportional to 135,056 and 286,758 is: 608,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,056 : 286,758 = 286,758 : x
  2. Step 2: Convert to fraction form
    135,056/286,758 = 286,758/x
  3. Step 3: Cross multiply
    135,056x = 286,758 × 286,758
  4. Step 4: Simplify right side
    135,056x = 82,230,150,564
  5. Step 5: Solve for x
    x = 82,230,150,564/135,056
  6. Step 6: Final answer
    x = 608,859.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.