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Finding the Third Proportional to 186,166.88 and 287,675.44

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Solution

The third proportional to 186,166.88 and 287,675.44 is: 444,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,166.88 : 287,675.44 = 287,675.44 : x
  2. Step 2: Convert to fraction form
    186,166.88/287,675.44 = 287,675.44/x
  3. Step 3: Cross multiply
    186,166.88x = 287,675.44 × 287,675.44
  4. Step 4: Simplify right side
    186,166.88x = 82,757,157,340.82
  5. Step 5: Solve for x
    x = 82,757,157,340.82/186,166.88
  6. Step 6: Final answer
    x = 444,532.13

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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.