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Finding the Third Proportional to 86,404 and 179,703

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Solution

The third proportional to 86,404 and 179,703 is: 373,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,404 : 179,703 = 179,703 : x
  2. Step 2: Convert to fraction form
    86,404/179,703 = 179,703/x
  3. Step 3: Cross multiply
    86,404x = 179,703 × 179,703
  4. Step 4: Simplify right side
    86,404x = 32,293,168,209
  5. Step 5: Solve for x
    x = 32,293,168,209/86,404
  6. Step 6: Final answer
    x = 373,746.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.