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Finding the Third Proportional to 114,653 and 251,723

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Solution

The third proportional to 114,653 and 251,723 is: 552,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,653 : 251,723 = 251,723 : x
  2. Step 2: Convert to fraction form
    114,653/251,723 = 251,723/x
  3. Step 3: Cross multiply
    114,653x = 251,723 × 251,723
  4. Step 4: Simplify right side
    114,653x = 63,364,468,729
  5. Step 5: Solve for x
    x = 63,364,468,729/114,653
  6. Step 6: Final answer
    x = 552,662.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.