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Finding the Third Proportional to 135,708 and 286,726

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Solution

The third proportional to 135,708 and 286,726 is: 605,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,708 : 286,726 = 286,726 : x
  2. Step 2: Convert to fraction form
    135,708/286,726 = 286,726/x
  3. Step 3: Cross multiply
    135,708x = 286,726 × 286,726
  4. Step 4: Simplify right side
    135,708x = 82,211,799,076
  5. Step 5: Solve for x
    x = 82,211,799,076/135,708
  6. Step 6: Final answer
    x = 605,799.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.