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Finding the Third Proportional to 224,510.06 and 322,749.56

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Solution

The third proportional to 224,510.06 and 322,749.56 is: 463,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,510.06 : 322,749.56 = 322,749.56 : x
  2. Step 2: Convert to fraction form
    224,510.06/322,749.56 = 322,749.56/x
  3. Step 3: Cross multiply
    224,510.06x = 322,749.56 × 322,749.56
  4. Step 4: Simplify right side
    224,510.06x = 104,167,280,093.94
  5. Step 5: Solve for x
    x = 104,167,280,093.94/224,510.06
  6. Step 6: Final answer
    x = 463,976.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.