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Finding the Third Proportional to 186,642.25 and 287,268.50

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Solution

The third proportional to 186,642.25 and 287,268.50 is: 442,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642.25 : 287,268.50 = 287,268.50 : x
  2. Step 2: Convert to fraction form
    186,642.25/287,268.50 = 287,268.50/x
  3. Step 3: Cross multiply
    186,642.25x = 287,268.50 × 287,268.50
  4. Step 4: Simplify right side
    186,642.25x = 82,523,191,092.25
  5. Step 5: Solve for x
    x = 82,523,191,092.25/186,642.25
  6. Step 6: Final answer
    x = 442,146.36

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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.