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Finding the Third Proportional to 114,223.78 and 247,515.47

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Solution

The third proportional to 114,223.78 and 247,515.47 is: 536,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223.78 : 247,515.47 = 247,515.47 : x
  2. Step 2: Convert to fraction form
    114,223.78/247,515.47 = 247,515.47/x
  3. Step 3: Cross multiply
    114,223.78x = 247,515.47 × 247,515.47
  4. Step 4: Simplify right side
    114,223.78x = 61,263,907,270.53
  5. Step 5: Solve for x
    x = 61,263,907,270.53/114,223.78
  6. Step 6: Final answer
    x = 536,349.84

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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.