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Finding the Third Proportional to 146,205 and 219,321

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Solution

The third proportional to 146,205 and 219,321 is: 329,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,205 : 219,321 = 219,321 : x
  2. Step 2: Convert to fraction form
    146,205/219,321 = 219,321/x
  3. Step 3: Cross multiply
    146,205x = 219,321 × 219,321
  4. Step 4: Simplify right side
    146,205x = 48,101,701,041
  5. Step 5: Solve for x
    x = 48,101,701,041/146,205
  6. Step 6: Final answer
    x = 329,001.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.