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Finding the Third Proportional to 233,298 and 366,036.75

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Solution

The third proportional to 233,298 and 366,036.75 is: 574,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298 : 366,036.75 = 366,036.75 : x
  2. Step 2: Convert to fraction form
    233,298/366,036.75 = 366,036.75/x
  3. Step 3: Cross multiply
    233,298x = 366,036.75 × 366,036.75
  4. Step 4: Simplify right side
    233,298x = 133,982,902,350.56
  5. Step 5: Solve for x
    x = 133,982,902,350.56/233,298
  6. Step 6: Final answer
    x = 574,299.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.