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Finding the Third Proportional to 233,936 and 376,743

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Solution

The third proportional to 233,936 and 376,743 is: 606,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,936 : 376,743 = 376,743 : x
  2. Step 2: Convert to fraction form
    233,936/376,743 = 376,743/x
  3. Step 3: Cross multiply
    233,936x = 376,743 × 376,743
  4. Step 4: Simplify right side
    233,936x = 141,935,288,049
  5. Step 5: Solve for x
    x = 141,935,288,049/233,936
  6. Step 6: Final answer
    x = 606,727.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.