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Finding the Third Proportional to 84,284.61 and 179,296.35

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Solution

The third proportional to 84,284.61 and 179,296.35 is: 381,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,284.61 : 179,296.35 = 179,296.35 : x
  2. Step 2: Convert to fraction form
    84,284.61/179,296.35 = 179,296.35/x
  3. Step 3: Cross multiply
    84,284.61x = 179,296.35 × 179,296.35
  4. Step 4: Simplify right side
    84,284.61x = 32,147,180,282.87
  5. Step 5: Solve for x
    x = 32,147,180,282.87/84,284.61
  6. Step 6: Final answer
    x = 381,412.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.