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Finding the Third Proportional to 233,304 and 372,110

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Solution

The third proportional to 233,304 and 372,110 is: 593,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304 : 372,110 = 372,110 : x
  2. Step 2: Convert to fraction form
    233,304/372,110 = 372,110/x
  3. Step 3: Cross multiply
    233,304x = 372,110 × 372,110
  4. Step 4: Simplify right side
    233,304x = 138,465,852,100
  5. Step 5: Solve for x
    x = 138,465,852,100/233,304
  6. Step 6: Final answer
    x = 593,499.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.