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Finding the Third Proportional to 150,122 and 323,518

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Solution

The third proportional to 150,122 and 323,518 is: 697,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,122 : 323,518 = 323,518 : x
  2. Step 2: Convert to fraction form
    150,122/323,518 = 323,518/x
  3. Step 3: Cross multiply
    150,122x = 323,518 × 323,518
  4. Step 4: Simplify right side
    150,122x = 104,663,896,324
  5. Step 5: Solve for x
    x = 104,663,896,324/150,122
  6. Step 6: Final answer
    x = 697,192.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.