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Finding the Third Proportional to 146,792 and 321,712

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Solution

The third proportional to 146,792 and 321,712 is: 705,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,792 : 321,712 = 321,712 : x
  2. Step 2: Convert to fraction form
    146,792/321,712 = 321,712/x
  3. Step 3: Cross multiply
    146,792x = 321,712 × 321,712
  4. Step 4: Simplify right side
    146,792x = 103,498,610,944
  5. Step 5: Solve for x
    x = 103,498,610,944/146,792
  6. Step 6: Final answer
    x = 705,069.83

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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.