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Finding the Third Proportional to 240,914 and 352,731

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Solution

The third proportional to 240,914 and 352,731 is: 516,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,914 : 352,731 = 352,731 : x
  2. Step 2: Convert to fraction form
    240,914/352,731 = 352,731/x
  3. Step 3: Cross multiply
    240,914x = 352,731 × 352,731
  4. Step 4: Simplify right side
    240,914x = 124,419,158,361
  5. Step 5: Solve for x
    x = 124,419,158,361/240,914
  6. Step 6: Final answer
    x = 516,446.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.