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Finding the Third Proportional to 114,723 and 248,514

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Solution

The third proportional to 114,723 and 248,514 is: 538,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,723 : 248,514 = 248,514 : x
  2. Step 2: Convert to fraction form
    114,723/248,514 = 248,514/x
  3. Step 3: Cross multiply
    114,723x = 248,514 × 248,514
  4. Step 4: Simplify right side
    114,723x = 61,759,208,196
  5. Step 5: Solve for x
    x = 61,759,208,196/114,723
  6. Step 6: Final answer
    x = 538,333.27

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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.