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Finding the Third Proportional to 186,168 and 287,677

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Solution

The third proportional to 186,168 and 287,677 is: 444,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,168 : 287,677 = 287,677 : x
  2. Step 2: Convert to fraction form
    186,168/287,677 = 287,677/x
  3. Step 3: Cross multiply
    186,168x = 287,677 × 287,677
  4. Step 4: Simplify right side
    186,168x = 82,758,056,329
  5. Step 5: Solve for x
    x = 82,758,056,329/186,168
  6. Step 6: Final answer
    x = 444,534.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.