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Finding the Third Proportional to 131,256 and 281,184

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Solution

The third proportional to 131,256 and 281,184 is: 602,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,256 : 281,184 = 281,184 : x
  2. Step 2: Convert to fraction form
    131,256/281,184 = 281,184/x
  3. Step 3: Cross multiply
    131,256x = 281,184 × 281,184
  4. Step 4: Simplify right side
    131,256x = 79,064,441,856
  5. Step 5: Solve for x
    x = 79,064,441,856/131,256
  6. Step 6: Final answer
    x = 602,368.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.