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Finding the Third Proportional to 188,925.75 and 287,898.75

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Solution

The third proportional to 188,925.75 and 287,898.75 is: 438,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,925.75 : 287,898.75 = 287,898.75 : x
  2. Step 2: Convert to fraction form
    188,925.75/287,898.75 = 287,898.75/x
  3. Step 3: Cross multiply
    188,925.75x = 287,898.75 × 287,898.75
  4. Step 4: Simplify right side
    188,925.75x = 82,885,690,251.56
  5. Step 5: Solve for x
    x = 82,885,690,251.56/188,925.75
  6. Step 6: Final answer
    x = 438,720.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.