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Finding the Third Proportional to 234,000 and 334,392

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Solution

The third proportional to 234,000 and 334,392 is: 477,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,000 : 334,392 = 334,392 : x
  2. Step 2: Convert to fraction form
    234,000/334,392 = 334,392/x
  3. Step 3: Cross multiply
    234,000x = 334,392 × 334,392
  4. Step 4: Simplify right side
    234,000x = 111,818,009,664
  5. Step 5: Solve for x
    x = 111,818,009,664/234,000
  6. Step 6: Final answer
    x = 477,854.74

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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.