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Finding the Third Proportional to 186,974.50 and 290,065

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Solution

The third proportional to 186,974.50 and 290,065 is: 449,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,974.50 : 290,065 = 290,065 : x
  2. Step 2: Convert to fraction form
    186,974.50/290,065 = 290,065/x
  3. Step 3: Cross multiply
    186,974.50x = 290,065 × 290,065
  4. Step 4: Simplify right side
    186,974.50x = 84,137,704,225
  5. Step 5: Solve for x
    x = 84,137,704,225/186,974.50
  6. Step 6: Final answer
    x = 449,995.61

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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.