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Finding the Third Proportional to 181,972.50 and 290,677.50

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Solution

The third proportional to 181,972.50 and 290,677.50 is: 464,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,972.50 : 290,677.50 = 290,677.50 : x
  2. Step 2: Convert to fraction form
    181,972.50/290,677.50 = 290,677.50/x
  3. Step 3: Cross multiply
    181,972.50x = 290,677.50 × 290,677.50
  4. Step 4: Simplify right side
    181,972.50x = 84,493,409,006.25
  5. Step 5: Solve for x
    x = 84,493,409,006.25/181,972.50
  6. Step 6: Final answer
    x = 464,319.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.