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Finding the Third Proportional to 85,758 and 186,348

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Solution

The third proportional to 85,758 and 186,348 is: 404,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,758 : 186,348 = 186,348 : x
  2. Step 2: Convert to fraction form
    85,758/186,348 = 186,348/x
  3. Step 3: Cross multiply
    85,758x = 186,348 × 186,348
  4. Step 4: Simplify right side
    85,758x = 34,725,577,104
  5. Step 5: Solve for x
    x = 34,725,577,104/85,758
  6. Step 6: Final answer
    x = 404,925.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.