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Finding the Third Proportional to 149,216 and 323,712

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Solution

The third proportional to 149,216 and 323,712 is: 702,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,216 : 323,712 = 323,712 : x
  2. Step 2: Convert to fraction form
    149,216/323,712 = 323,712/x
  3. Step 3: Cross multiply
    149,216x = 323,712 × 323,712
  4. Step 4: Simplify right side
    149,216x = 104,789,458,944
  5. Step 5: Solve for x
    x = 104,789,458,944/149,216
  6. Step 6: Final answer
    x = 702,266.91

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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.