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Finding the Third Proportional to 217,004.06 and 322,362.56

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Solution

The third proportional to 217,004.06 and 322,362.56 is: 478,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,004.06 : 322,362.56 = 322,362.56 : x
  2. Step 2: Convert to fraction form
    217,004.06/322,362.56 = 322,362.56/x
  3. Step 3: Cross multiply
    217,004.06x = 322,362.56 × 322,362.56
  4. Step 4: Simplify right side
    217,004.06x = 103,917,621,701.57
  5. Step 5: Solve for x
    x = 103,917,621,701.57/217,004.06
  6. Step 6: Final answer
    x = 478,874.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.