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Finding the Third Proportional to 233,902 and 364,543

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Solution

The third proportional to 233,902 and 364,543 is: 568,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,902 : 364,543 = 364,543 : x
  2. Step 2: Convert to fraction form
    233,902/364,543 = 364,543/x
  3. Step 3: Cross multiply
    233,902x = 364,543 × 364,543
  4. Step 4: Simplify right side
    233,902x = 132,891,598,849
  5. Step 5: Solve for x
    x = 132,891,598,849/233,902
  6. Step 6: Final answer
    x = 568,150.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.