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Finding the Third Proportional to 114,348 and 254,924

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Solution

The third proportional to 114,348 and 254,924 is: 568,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,348 : 254,924 = 254,924 : x
  2. Step 2: Convert to fraction form
    114,348/254,924 = 254,924/x
  3. Step 3: Cross multiply
    114,348x = 254,924 × 254,924
  4. Step 4: Simplify right side
    114,348x = 64,986,245,776
  5. Step 5: Solve for x
    x = 64,986,245,776/114,348
  6. Step 6: Final answer
    x = 568,319.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.