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Finding the Third Proportional to 233,226 and 368,721

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Solution

The third proportional to 233,226 and 368,721 is: 582,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,226 : 368,721 = 368,721 : x
  2. Step 2: Convert to fraction form
    233,226/368,721 = 368,721/x
  3. Step 3: Cross multiply
    233,226x = 368,721 × 368,721
  4. Step 4: Simplify right side
    233,226x = 135,955,175,841
  5. Step 5: Solve for x
    x = 135,955,175,841/233,226
  6. Step 6: Final answer
    x = 582,933.19

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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.