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Finding the Third Proportional to 149,752 and 205,184

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Solution

The third proportional to 149,752 and 205,184 is: 281,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752 : 205,184 = 205,184 : x
  2. Step 2: Convert to fraction form
    149,752/205,184 = 205,184/x
  3. Step 3: Cross multiply
    149,752x = 205,184 × 205,184
  4. Step 4: Simplify right side
    149,752x = 42,100,473,856
  5. Step 5: Solve for x
    x = 42,100,473,856/149,752
  6. Step 6: Final answer
    x = 281,134.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.