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Finding the Third Proportional to 146,898 and 321,472

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Solution

The third proportional to 146,898 and 321,472 is: 703,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,898 : 321,472 = 321,472 : x
  2. Step 2: Convert to fraction form
    146,898/321,472 = 321,472/x
  3. Step 3: Cross multiply
    146,898x = 321,472 × 321,472
  4. Step 4: Simplify right side
    146,898x = 103,344,246,784
  5. Step 5: Solve for x
    x = 103,344,246,784/146,898
  6. Step 6: Final answer
    x = 703,510.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.