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Finding the Third Proportional to 233,532 and 361,233

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Solution

The third proportional to 233,532 and 361,233 is: 558,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,532 : 361,233 = 361,233 : x
  2. Step 2: Convert to fraction form
    233,532/361,233 = 361,233/x
  3. Step 3: Cross multiply
    233,532x = 361,233 × 361,233
  4. Step 4: Simplify right side
    233,532x = 130,489,280,289
  5. Step 5: Solve for x
    x = 130,489,280,289/233,532
  6. Step 6: Final answer
    x = 558,764.03

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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.