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Finding the Third Proportional to 219,894 and 329,265

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Solution

The third proportional to 219,894 and 329,265 is: 493,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,894 : 329,265 = 329,265 : x
  2. Step 2: Convert to fraction form
    219,894/329,265 = 329,265/x
  3. Step 3: Cross multiply
    219,894x = 329,265 × 329,265
  4. Step 4: Simplify right side
    219,894x = 108,415,440,225
  5. Step 5: Solve for x
    x = 108,415,440,225/219,894
  6. Step 6: Final answer
    x = 493,035.01

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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.