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Finding the Third Proportional to 114,262.88 and 247,593.38

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Solution

The third proportional to 114,262.88 and 247,593.38 is: 536,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,262.88 : 247,593.38 = 247,593.38 : x
  2. Step 2: Convert to fraction form
    114,262.88/247,593.38 = 247,593.38/x
  3. Step 3: Cross multiply
    114,262.88x = 247,593.38 × 247,593.38
  4. Step 4: Simplify right side
    114,262.88x = 61,302,479,343.89
  5. Step 5: Solve for x
    x = 61,302,479,343.89/114,262.88
  6. Step 6: Final answer
    x = 536,503.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.