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Finding the Third Proportional to 150,902 and 325,518

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Solution

The third proportional to 150,902 and 325,518 is: 702,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,902 : 325,518 = 325,518 : x
  2. Step 2: Convert to fraction form
    150,902/325,518 = 325,518/x
  3. Step 3: Cross multiply
    150,902x = 325,518 × 325,518
  4. Step 4: Simplify right side
    150,902x = 105,961,968,324
  5. Step 5: Solve for x
    x = 105,961,968,324/150,902
  6. Step 6: Final answer
    x = 702,190.62

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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.