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Finding the Third Proportional to 181,986.75 and 390,318.75

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Solution

The third proportional to 181,986.75 and 390,318.75 is: 837,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,986.75 : 390,318.75 = 390,318.75 : x
  2. Step 2: Convert to fraction form
    181,986.75/390,318.75 = 390,318.75/x
  3. Step 3: Cross multiply
    181,986.75x = 390,318.75 × 390,318.75
  4. Step 4: Simplify right side
    181,986.75x = 152,348,726,601.56
  5. Step 5: Solve for x
    x = 152,348,726,601.56/181,986.75
  6. Step 6: Final answer
    x = 837,141.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.