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Finding the Third Proportional to 219,156 and 296,976

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Solution

The third proportional to 219,156 and 296,976 is: 402,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,156 : 296,976 = 296,976 : x
  2. Step 2: Convert to fraction form
    219,156/296,976 = 296,976/x
  3. Step 3: Cross multiply
    219,156x = 296,976 × 296,976
  4. Step 4: Simplify right side
    219,156x = 88,194,744,576
  5. Step 5: Solve for x
    x = 88,194,744,576/219,156
  6. Step 6: Final answer
    x = 402,429.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.