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Finding the Third Proportional to 193,318.31 and 290,341.13

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Solution

The third proportional to 193,318.31 and 290,341.13 is: 436,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,318.31 : 290,341.13 = 290,341.13 : x
  2. Step 2: Convert to fraction form
    193,318.31/290,341.13 = 290,341.13/x
  3. Step 3: Cross multiply
    193,318.31x = 290,341.13 × 290,341.13
  4. Step 4: Simplify right side
    193,318.31x = 84,297,968,866.27
  5. Step 5: Solve for x
    x = 84,297,968,866.27/193,318.31
  6. Step 6: Final answer
    x = 436,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.