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Finding the Third Proportional to 149,088 and 323,424

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Solution

The third proportional to 149,088 and 323,424 is: 701,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,088 : 323,424 = 323,424 : x
  2. Step 2: Convert to fraction form
    149,088/323,424 = 323,424/x
  3. Step 3: Cross multiply
    149,088x = 323,424 × 323,424
  4. Step 4: Simplify right side
    149,088x = 104,603,083,776
  5. Step 5: Solve for x
    x = 104,603,083,776/149,088
  6. Step 6: Final answer
    x = 701,619.74

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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.