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Finding the Third Proportional to 107,433 and 233,982

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Solution

The third proportional to 107,433 and 233,982 is: 509,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,433 : 233,982 = 233,982 : x
  2. Step 2: Convert to fraction form
    107,433/233,982 = 233,982/x
  3. Step 3: Cross multiply
    107,433x = 233,982 × 233,982
  4. Step 4: Simplify right side
    107,433x = 54,747,576,324
  5. Step 5: Solve for x
    x = 54,747,576,324/107,433
  6. Step 6: Final answer
    x = 509,597.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.