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Finding the Third Proportional to 186,356 and 248,286

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Solution

The third proportional to 186,356 and 248,286 is: 330,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,356 : 248,286 = 248,286 : x
  2. Step 2: Convert to fraction form
    186,356/248,286 = 248,286/x
  3. Step 3: Cross multiply
    186,356x = 248,286 × 248,286
  4. Step 4: Simplify right side
    186,356x = 61,645,937,796
  5. Step 5: Solve for x
    x = 61,645,937,796/186,356
  6. Step 6: Final answer
    x = 330,796.64

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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.