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Finding the Third Proportional to 114,464 and 248,625

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Solution

The third proportional to 114,464 and 248,625 is: 540,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464 : 248,625 = 248,625 : x
  2. Step 2: Convert to fraction form
    114,464/248,625 = 248,625/x
  3. Step 3: Cross multiply
    114,464x = 248,625 × 248,625
  4. Step 4: Simplify right side
    114,464x = 61,814,390,625
  5. Step 5: Solve for x
    x = 61,814,390,625/114,464
  6. Step 6: Final answer
    x = 540,033.47

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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.