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Finding the Third Proportional to 147,930 and 323,505

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Solution

The third proportional to 147,930 and 323,505 is: 707,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,930 : 323,505 = 323,505 : x
  2. Step 2: Convert to fraction form
    147,930/323,505 = 323,505/x
  3. Step 3: Cross multiply
    147,930x = 323,505 × 323,505
  4. Step 4: Simplify right side
    147,930x = 104,655,485,025
  5. Step 5: Solve for x
    x = 104,655,485,025/147,930
  6. Step 6: Final answer
    x = 707,466.27

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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.