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Finding the Third Proportional to 234,965 and 378,332

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Solution

The third proportional to 234,965 and 378,332 is: 609,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,965 : 378,332 = 378,332 : x
  2. Step 2: Convert to fraction form
    234,965/378,332 = 378,332/x
  3. Step 3: Cross multiply
    234,965x = 378,332 × 378,332
  4. Step 4: Simplify right side
    234,965x = 143,135,102,224
  5. Step 5: Solve for x
    x = 143,135,102,224/234,965
  6. Step 6: Final answer
    x = 609,176.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.