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Finding the Third Proportional to 236,392 and 346,811

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Solution

The third proportional to 236,392 and 346,811 is: 508,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,392 : 346,811 = 346,811 : x
  2. Step 2: Convert to fraction form
    236,392/346,811 = 346,811/x
  3. Step 3: Cross multiply
    236,392x = 346,811 × 346,811
  4. Step 4: Simplify right side
    236,392x = 120,277,869,721
  5. Step 5: Solve for x
    x = 120,277,869,721/236,392
  6. Step 6: Final answer
    x = 508,806.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.