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Finding the Third Proportional to 86,848 and 180,608

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Solution

The third proportional to 86,848 and 180,608 is: 375,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,848 : 180,608 = 180,608 : x
  2. Step 2: Convert to fraction form
    86,848/180,608 = 180,608/x
  3. Step 3: Cross multiply
    86,848x = 180,608 × 180,608
  4. Step 4: Simplify right side
    86,848x = 32,619,249,664
  5. Step 5: Solve for x
    x = 32,619,249,664/86,848
  6. Step 6: Final answer
    x = 375,590.11

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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.