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Finding the Third Proportional to 219,469 and 329,095

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Solution

The third proportional to 219,469 and 329,095 is: 493,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,469 : 329,095 = 329,095 : x
  2. Step 2: Convert to fraction form
    219,469/329,095 = 329,095/x
  3. Step 3: Cross multiply
    219,469x = 329,095 × 329,095
  4. Step 4: Simplify right side
    219,469x = 108,303,519,025
  5. Step 5: Solve for x
    x = 108,303,519,025/219,469
  6. Step 6: Final answer
    x = 493,479.80

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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.