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Finding the Third Proportional to 219,324 and 321,381

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Solution

The third proportional to 219,324 and 321,381 is: 470,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324 : 321,381 = 321,381 : x
  2. Step 2: Convert to fraction form
    219,324/321,381 = 321,381/x
  3. Step 3: Cross multiply
    219,324x = 321,381 × 321,381
  4. Step 4: Simplify right side
    219,324x = 103,285,747,161
  5. Step 5: Solve for x
    x = 103,285,747,161/219,324
  6. Step 6: Final answer
    x = 470,927.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.