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Finding the Third Proportional to 161,333 and 333,023

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Solution

The third proportional to 161,333 and 333,023 is: 687,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,333 : 333,023 = 333,023 : x
  2. Step 2: Convert to fraction form
    161,333/333,023 = 333,023/x
  3. Step 3: Cross multiply
    161,333x = 333,023 × 333,023
  4. Step 4: Simplify right side
    161,333x = 110,904,318,529
  5. Step 5: Solve for x
    x = 110,904,318,529/161,333
  6. Step 6: Final answer
    x = 687,424.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.