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Finding the Third Proportional to 231,616 and 367,053

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Solution

The third proportional to 231,616 and 367,053 is: 581,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,616 : 367,053 = 367,053 : x
  2. Step 2: Convert to fraction form
    231,616/367,053 = 367,053/x
  3. Step 3: Cross multiply
    231,616x = 367,053 × 367,053
  4. Step 4: Simplify right side
    231,616x = 134,727,904,809
  5. Step 5: Solve for x
    x = 134,727,904,809/231,616
  6. Step 6: Final answer
    x = 581,686.52

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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.