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Finding the Third Proportional to 114,301 and 251,228

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Solution

The third proportional to 114,301 and 251,228 is: 552,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301 : 251,228 = 251,228 : x
  2. Step 2: Convert to fraction form
    114,301/251,228 = 251,228/x
  3. Step 3: Cross multiply
    114,301x = 251,228 × 251,228
  4. Step 4: Simplify right side
    114,301x = 63,115,507,984
  5. Step 5: Solve for x
    x = 63,115,507,984/114,301
  6. Step 6: Final answer
    x = 552,186.84

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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.