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Finding the Third Proportional to 234,026 and 334,413

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Solution

The third proportional to 234,026 and 334,413 is: 477,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,026 : 334,413 = 334,413 : x
  2. Step 2: Convert to fraction form
    234,026/334,413 = 334,413/x
  3. Step 3: Cross multiply
    234,026x = 334,413 × 334,413
  4. Step 4: Simplify right side
    234,026x = 111,832,054,569
  5. Step 5: Solve for x
    x = 111,832,054,569/234,026
  6. Step 6: Final answer
    x = 477,861.67

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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.