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Finding the Third Proportional to 234,960 and 334,944

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Solution

The third proportional to 234,960 and 334,944 is: 477,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,960 : 334,944 = 334,944 : x
  2. Step 2: Convert to fraction form
    234,960/334,944 = 334,944/x
  3. Step 3: Cross multiply
    234,960x = 334,944 × 334,944
  4. Step 4: Simplify right side
    234,960x = 112,187,483,136
  5. Step 5: Solve for x
    x = 112,187,483,136/234,960
  6. Step 6: Final answer
    x = 477,474.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.