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Finding the Third Proportional to 177,500.11 and 242,503.56

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Solution

The third proportional to 177,500.11 and 242,503.56 is: 331,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,500.11 : 242,503.56 = 242,503.56 : x
  2. Step 2: Convert to fraction form
    177,500.11/242,503.56 = 242,503.56/x
  3. Step 3: Cross multiply
    177,500.11x = 242,503.56 × 242,503.56
  4. Step 4: Simplify right side
    177,500.11x = 58,807,975,930.64
  5. Step 5: Solve for x
    x = 58,807,975,930.64/177,500.11
  6. Step 6: Final answer
    x = 331,312.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.