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Finding the Third Proportional to 145,295.25 and 195,252.75

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Solution

The third proportional to 145,295.25 and 195,252.75 is: 262,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,295.25 : 195,252.75 = 195,252.75 : x
  2. Step 2: Convert to fraction form
    145,295.25/195,252.75 = 195,252.75/x
  3. Step 3: Cross multiply
    145,295.25x = 195,252.75 × 195,252.75
  4. Step 4: Simplify right side
    145,295.25x = 38,123,636,382.56
  5. Step 5: Solve for x
    x = 38,123,636,382.56/145,295.25
  6. Step 6: Final answer
    x = 262,387.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.