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Finding the Third Proportional to 177,333.75 and 243,852.75

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Solution

The third proportional to 177,333.75 and 243,852.75 is: 335,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,333.75 : 243,852.75 = 243,852.75 : x
  2. Step 2: Convert to fraction form
    177,333.75/243,852.75 = 243,852.75/x
  3. Step 3: Cross multiply
    177,333.75x = 243,852.75 × 243,852.75
  4. Step 4: Simplify right side
    177,333.75x = 59,464,163,682.56
  5. Step 5: Solve for x
    x = 59,464,163,682.56/177,333.75
  6. Step 6: Final answer
    x = 335,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.