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Finding the Third Proportional to 186,640.88 and 287,266.50

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Solution

The third proportional to 186,640.88 and 287,266.50 is: 442,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,640.88 : 287,266.50 = 287,266.50 : x
  2. Step 2: Convert to fraction form
    186,640.88/287,266.50 = 287,266.50/x
  3. Step 3: Cross multiply
    186,640.88x = 287,266.50 × 287,266.50
  4. Step 4: Simplify right side
    186,640.88x = 82,522,042,022.25
  5. Step 5: Solve for x
    x = 82,522,042,022.25/186,640.88
  6. Step 6: Final answer
    x = 442,143.46

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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.