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Finding the Third Proportional to 233,874 and 361,827

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Solution

The third proportional to 233,874 and 361,827 is: 559,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874 : 361,827 = 361,827 : x
  2. Step 2: Convert to fraction form
    233,874/361,827 = 361,827/x
  3. Step 3: Cross multiply
    233,874x = 361,827 × 361,827
  4. Step 4: Simplify right side
    233,874x = 130,918,777,929
  5. Step 5: Solve for x
    x = 130,918,777,929/233,874
  6. Step 6: Final answer
    x = 559,783.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.