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Finding the Third Proportional to 114,722.25 and 246,051.38

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Solution

The third proportional to 114,722.25 and 246,051.38 is: 527,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,722.25 : 246,051.38 = 246,051.38 : x
  2. Step 2: Convert to fraction form
    114,722.25/246,051.38 = 246,051.38/x
  3. Step 3: Cross multiply
    114,722.25x = 246,051.38 × 246,051.38
  4. Step 4: Simplify right side
    114,722.25x = 60,541,279,139.39
  5. Step 5: Solve for x
    x = 60,541,279,139.39/114,722.25
  6. Step 6: Final answer
    x = 527,720.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.