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Finding the Third Proportional to 148,664 and 322,600

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Solution

The third proportional to 148,664 and 322,600 is: 700,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,664 : 322,600 = 322,600 : x
  2. Step 2: Convert to fraction form
    148,664/322,600 = 322,600/x
  3. Step 3: Cross multiply
    148,664x = 322,600 × 322,600
  4. Step 4: Simplify right side
    148,664x = 104,070,760,000
  5. Step 5: Solve for x
    x = 104,070,760,000/148,664
  6. Step 6: Final answer
    x = 700,040.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.