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Finding the Third Proportional to 86,844 and 180,600

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Solution

The third proportional to 86,844 and 180,600 is: 375,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,844 : 180,600 = 180,600 : x
  2. Step 2: Convert to fraction form
    86,844/180,600 = 180,600/x
  3. Step 3: Cross multiply
    86,844x = 180,600 × 180,600
  4. Step 4: Simplify right side
    86,844x = 32,616,360,000
  5. Step 5: Solve for x
    x = 32,616,360,000/86,844
  6. Step 6: Final answer
    x = 375,574.13

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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.