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Finding the Third Proportional to 183,924 and 247,164.75

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Solution

The third proportional to 183,924 and 247,164.75 is: 332,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,924 : 247,164.75 = 247,164.75 : x
  2. Step 2: Convert to fraction form
    183,924/247,164.75 = 247,164.75/x
  3. Step 3: Cross multiply
    183,924x = 247,164.75 × 247,164.75
  4. Step 4: Simplify right side
    183,924x = 61,090,413,642.56
  5. Step 5: Solve for x
    x = 61,090,413,642.56/183,924
  6. Step 6: Final answer
    x = 332,150.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.