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Finding the Third Proportional to 180,618 and 281,267

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Solution

The third proportional to 180,618 and 281,267 is: 438,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,618 : 281,267 = 281,267 : x
  2. Step 2: Convert to fraction form
    180,618/281,267 = 281,267/x
  3. Step 3: Cross multiply
    180,618x = 281,267 × 281,267
  4. Step 4: Simplify right side
    180,618x = 79,111,125,289
  5. Step 5: Solve for x
    x = 79,111,125,289/180,618
  6. Step 6: Final answer
    x = 438,002.44

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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.