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Finding the Third Proportional to 114,022 and 247,516

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Solution

The third proportional to 114,022 and 247,516 is: 537,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,022 : 247,516 = 247,516 : x
  2. Step 2: Convert to fraction form
    114,022/247,516 = 247,516/x
  3. Step 3: Cross multiply
    114,022x = 247,516 × 247,516
  4. Step 4: Simplify right side
    114,022x = 61,264,170,256
  5. Step 5: Solve for x
    x = 61,264,170,256/114,022
  6. Step 6: Final answer
    x = 537,301.31

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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.