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Finding the Third Proportional to 233,138.25 and 418,304.25

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Solution

The third proportional to 233,138.25 and 418,304.25 is: 750,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,138.25 : 418,304.25 = 418,304.25 : x
  2. Step 2: Convert to fraction form
    233,138.25/418,304.25 = 418,304.25/x
  3. Step 3: Cross multiply
    233,138.25x = 418,304.25 × 418,304.25
  4. Step 4: Simplify right side
    233,138.25x = 174,978,445,568.06
  5. Step 5: Solve for x
    x = 174,978,445,568.06/233,138.25
  6. Step 6: Final answer
    x = 750,535.12

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.