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Finding the Third Proportional to 186,652 and 287,284

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Solution

The third proportional to 186,652 and 287,284 is: 442,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,652 : 287,284 = 287,284 : x
  2. Step 2: Convert to fraction form
    186,652/287,284 = 287,284/x
  3. Step 3: Cross multiply
    186,652x = 287,284 × 287,284
  4. Step 4: Simplify right side
    186,652x = 82,532,096,656
  5. Step 5: Solve for x
    x = 82,532,096,656/186,652
  6. Step 6: Final answer
    x = 442,170.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.