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Finding the Third Proportional to 135,952 and 293,782

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Solution

The third proportional to 135,952 and 293,782 is: 634,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952 : 293,782 = 293,782 : x
  2. Step 2: Convert to fraction form
    135,952/293,782 = 293,782/x
  3. Step 3: Cross multiply
    135,952x = 293,782 × 293,782
  4. Step 4: Simplify right side
    135,952x = 86,307,863,524
  5. Step 5: Solve for x
    x = 86,307,863,524/135,952
  6. Step 6: Final answer
    x = 634,840.70

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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.