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Finding the Third Proportional to 233,982 and 355,896

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Solution

The third proportional to 233,982 and 355,896 is: 541,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,982 : 355,896 = 355,896 : x
  2. Step 2: Convert to fraction form
    233,982/355,896 = 355,896/x
  3. Step 3: Cross multiply
    233,982x = 355,896 × 355,896
  4. Step 4: Simplify right side
    233,982x = 126,661,962,816
  5. Step 5: Solve for x
    x = 126,661,962,816/233,982
  6. Step 6: Final answer
    x = 541,332.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.