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Finding the Third Proportional to 149,548 and 324,111

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Solution

The third proportional to 149,548 and 324,111 is: 702,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,548 : 324,111 = 324,111 : x
  2. Step 2: Convert to fraction form
    149,548/324,111 = 324,111/x
  3. Step 3: Cross multiply
    149,548x = 324,111 × 324,111
  4. Step 4: Simplify right side
    149,548x = 105,047,940,321
  5. Step 5: Solve for x
    x = 105,047,940,321/149,548
  6. Step 6: Final answer
    x = 702,436.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.