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Finding the Third Proportional to 186,366 and 248,298

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Solution

The third proportional to 186,366 and 248,298 is: 330,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,366 : 248,298 = 248,298 : x
  2. Step 2: Convert to fraction form
    186,366/248,298 = 248,298/x
  3. Step 3: Cross multiply
    186,366x = 248,298 × 248,298
  4. Step 4: Simplify right side
    186,366x = 61,651,896,804
  5. Step 5: Solve for x
    x = 61,651,896,804/186,366
  6. Step 6: Final answer
    x = 330,810.86

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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.