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Finding the Third Proportional to 230,166 and 366,395

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Solution

The third proportional to 230,166 and 366,395 is: 583,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,166 : 366,395 = 366,395 : x
  2. Step 2: Convert to fraction form
    230,166/366,395 = 366,395/x
  3. Step 3: Cross multiply
    230,166x = 366,395 × 366,395
  4. Step 4: Simplify right side
    230,166x = 134,245,296,025
  5. Step 5: Solve for x
    x = 134,245,296,025/230,166
  6. Step 6: Final answer
    x = 583,254.24

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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.