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Finding the Third Proportional to 230,164 and 366,392

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Solution

The third proportional to 230,164 and 366,392 is: 583,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,164 : 366,392 = 366,392 : x
  2. Step 2: Convert to fraction form
    230,164/366,392 = 366,392/x
  3. Step 3: Cross multiply
    230,164x = 366,392 × 366,392
  4. Step 4: Simplify right side
    230,164x = 134,243,097,664
  5. Step 5: Solve for x
    x = 134,243,097,664/230,164
  6. Step 6: Final answer
    x = 583,249.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.