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Finding the Third Proportional to 114,335 and 254,896

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Solution

The third proportional to 114,335 and 254,896 is: 568,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,335 : 254,896 = 254,896 : x
  2. Step 2: Convert to fraction form
    114,335/254,896 = 254,896/x
  3. Step 3: Cross multiply
    114,335x = 254,896 × 254,896
  4. Step 4: Simplify right side
    114,335x = 64,971,970,816
  5. Step 5: Solve for x
    x = 64,971,970,816/114,335
  6. Step 6: Final answer
    x = 568,259.68

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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.