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Finding the Third Proportional to 181,887.94 and 244,688.06

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Solution

The third proportional to 181,887.94 and 244,688.06 is: 329,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,887.94 : 244,688.06 = 244,688.06 : x
  2. Step 2: Convert to fraction form
    181,887.94/244,688.06 = 244,688.06/x
  3. Step 3: Cross multiply
    181,887.94x = 244,688.06 × 244,688.06
  4. Step 4: Simplify right side
    181,887.94x = 59,872,247,930.00
  5. Step 5: Solve for x
    x = 59,872,247,930.00/181,887.94
  6. Step 6: Final answer
    x = 329,171.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.