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Finding the Third Proportional to 182,234 and 245,199

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Solution

The third proportional to 182,234 and 245,199 is: 329,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,234 : 245,199 = 245,199 : x
  2. Step 2: Convert to fraction form
    182,234/245,199 = 245,199/x
  3. Step 3: Cross multiply
    182,234x = 245,199 × 245,199
  4. Step 4: Simplify right side
    182,234x = 60,122,549,601
  5. Step 5: Solve for x
    x = 60,122,549,601/182,234
  6. Step 6: Final answer
    x = 329,919.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.