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Finding the Third Proportional to 150,205 and 233,924

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Solution

The third proportional to 150,205 and 233,924 is: 364,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,205 : 233,924 = 233,924 : x
  2. Step 2: Convert to fraction form
    150,205/233,924 = 233,924/x
  3. Step 3: Cross multiply
    150,205x = 233,924 × 233,924
  4. Step 4: Simplify right side
    150,205x = 54,720,437,776
  5. Step 5: Solve for x
    x = 54,720,437,776/150,205
  6. Step 6: Final answer
    x = 364,305.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.