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Finding the Third Proportional to 230,928 and 346,392

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Solution

The third proportional to 230,928 and 346,392 is: 519,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,928 : 346,392 = 346,392 : x
  2. Step 2: Convert to fraction form
    230,928/346,392 = 346,392/x
  3. Step 3: Cross multiply
    230,928x = 346,392 × 346,392
  4. Step 4: Simplify right side
    230,928x = 119,987,417,664
  5. Step 5: Solve for x
    x = 119,987,417,664/230,928
  6. Step 6: Final answer
    x = 519,588

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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.