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Finding the Third Proportional to 169,923 and 237,712.50

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Solution

The third proportional to 169,923 and 237,712.50 is: 332,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,923 : 237,712.50 = 237,712.50 : x
  2. Step 2: Convert to fraction form
    169,923/237,712.50 = 237,712.50/x
  3. Step 3: Cross multiply
    169,923x = 237,712.50 × 237,712.50
  4. Step 4: Simplify right side
    169,923x = 56,507,232,656.25
  5. Step 5: Solve for x
    x = 56,507,232,656.25/169,923
  6. Step 6: Final answer
    x = 332,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.