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Finding the Third Proportional to 231,832.13 and 366,418.69

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Solution

The third proportional to 231,832.13 and 366,418.69 is: 579,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,832.13 : 366,418.69 = 366,418.69 : x
  2. Step 2: Convert to fraction form
    231,832.13/366,418.69 = 366,418.69/x
  3. Step 3: Cross multiply
    231,832.13x = 366,418.69 × 366,418.69
  4. Step 4: Simplify right side
    231,832.13x = 134,262,654,549.22
  5. Step 5: Solve for x
    x = 134,262,654,549.22/231,832.13
  6. Step 6: Final answer
    x = 579,137.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.