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Finding the Third Proportional to 114,006 and 247,483

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Solution

The third proportional to 114,006 and 247,483 is: 537,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,006 : 247,483 = 247,483 : x
  2. Step 2: Convert to fraction form
    114,006/247,483 = 247,483/x
  3. Step 3: Cross multiply
    114,006x = 247,483 × 247,483
  4. Step 4: Simplify right side
    114,006x = 61,247,835,289
  5. Step 5: Solve for x
    x = 61,247,835,289/114,006
  6. Step 6: Final answer
    x = 537,233.44

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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.