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Finding the Third Proportional to 86,940 and 185,362

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Solution

The third proportional to 86,940 and 185,362 is: 395,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,940 : 185,362 = 185,362 : x
  2. Step 2: Convert to fraction form
    86,940/185,362 = 185,362/x
  3. Step 3: Cross multiply
    86,940x = 185,362 × 185,362
  4. Step 4: Simplify right side
    86,940x = 34,359,071,044
  5. Step 5: Solve for x
    x = 34,359,071,044/86,940
  6. Step 6: Final answer
    x = 395,204.41

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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.