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Finding the Third Proportional to 186,366 and 248,301

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Solution

The third proportional to 186,366 and 248,301 is: 330,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,366 : 248,301 = 248,301 : x
  2. Step 2: Convert to fraction form
    186,366/248,301 = 248,301/x
  3. Step 3: Cross multiply
    186,366x = 248,301 × 248,301
  4. Step 4: Simplify right side
    186,366x = 61,653,386,601
  5. Step 5: Solve for x
    x = 61,653,386,601/186,366
  6. Step 6: Final answer
    x = 330,818.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.