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Finding the Third Proportional to 161,767 and 351,477

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Solution

The third proportional to 161,767 and 351,477 is: 763,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,767 : 351,477 = 351,477 : x
  2. Step 2: Convert to fraction form
    161,767/351,477 = 351,477/x
  3. Step 3: Cross multiply
    161,767x = 351,477 × 351,477
  4. Step 4: Simplify right side
    161,767x = 123,536,081,529
  5. Step 5: Solve for x
    x = 123,536,081,529/161,767
  6. Step 6: Final answer
    x = 763,666.76

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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.