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Finding the Third Proportional to 226,860 and 348,222

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Solution

The third proportional to 226,860 and 348,222 is: 534,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,860 : 348,222 = 348,222 : x
  2. Step 2: Convert to fraction form
    226,860/348,222 = 348,222/x
  3. Step 3: Cross multiply
    226,860x = 348,222 × 348,222
  4. Step 4: Simplify right side
    226,860x = 121,258,561,284
  5. Step 5: Solve for x
    x = 121,258,561,284/226,860
  6. Step 6: Final answer
    x = 534,508.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.