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Finding the Third Proportional to 188,068.50 and 291,330

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Solution

The third proportional to 188,068.50 and 291,330 is: 451,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,068.50 : 291,330 = 291,330 : x
  2. Step 2: Convert to fraction form
    188,068.50/291,330 = 291,330/x
  3. Step 3: Cross multiply
    188,068.50x = 291,330 × 291,330
  4. Step 4: Simplify right side
    188,068.50x = 84,873,168,900
  5. Step 5: Solve for x
    x = 84,873,168,900/188,068.50
  6. Step 6: Final answer
    x = 451,288.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.