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Finding the Third Proportional to 186,850 and 287,187

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Solution

The third proportional to 186,850 and 287,187 is: 441,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,850 : 287,187 = 287,187 : x
  2. Step 2: Convert to fraction form
    186,850/287,187 = 287,187/x
  3. Step 3: Cross multiply
    186,850x = 287,187 × 287,187
  4. Step 4: Simplify right side
    186,850x = 82,476,372,969
  5. Step 5: Solve for x
    x = 82,476,372,969/186,850
  6. Step 6: Final answer
    x = 441,404.19

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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.