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Finding the Third Proportional to 234,738 and 351,207

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Solution

The third proportional to 234,738 and 351,207 is: 525,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,738 : 351,207 = 351,207 : x
  2. Step 2: Convert to fraction form
    234,738/351,207 = 351,207/x
  3. Step 3: Cross multiply
    234,738x = 351,207 × 351,207
  4. Step 4: Simplify right side
    234,738x = 123,346,356,849
  5. Step 5: Solve for x
    x = 123,346,356,849/234,738
  6. Step 6: Final answer
    x = 525,463.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.