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Finding the Third Proportional to 101,335 and 225,971

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Solution

The third proportional to 101,335 and 225,971 is: 503,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,335 : 225,971 = 225,971 : x
  2. Step 2: Convert to fraction form
    101,335/225,971 = 225,971/x
  3. Step 3: Cross multiply
    101,335x = 225,971 × 225,971
  4. Step 4: Simplify right side
    101,335x = 51,062,892,841
  5. Step 5: Solve for x
    x = 51,062,892,841/101,335
  6. Step 6: Final answer
    x = 503,901.84

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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.