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Finding the Third Proportional to 86,846 and 180,604

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Solution

The third proportional to 86,846 and 180,604 is: 375,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,846 : 180,604 = 180,604 : x
  2. Step 2: Convert to fraction form
    86,846/180,604 = 180,604/x
  3. Step 3: Cross multiply
    86,846x = 180,604 × 180,604
  4. Step 4: Simplify right side
    86,846x = 32,617,804,816
  5. Step 5: Solve for x
    x = 32,617,804,816/86,846
  6. Step 6: Final answer
    x = 375,582.12

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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.