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Finding the Third Proportional to 211,710 and 329,229

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Solution

The third proportional to 211,710 and 329,229 is: 511,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710 : 329,229 = 329,229 : x
  2. Step 2: Convert to fraction form
    211,710/329,229 = 329,229/x
  3. Step 3: Cross multiply
    211,710x = 329,229 × 329,229
  4. Step 4: Simplify right side
    211,710x = 108,391,734,441
  5. Step 5: Solve for x
    x = 108,391,734,441/211,710
  6. Step 6: Final answer
    x = 511,982.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.