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Finding the Third Proportional to 225,510.75 and 331,543.13

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Solution

The third proportional to 225,510.75 and 331,543.13 is: 487,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,510.75 : 331,543.13 = 331,543.13 : x
  2. Step 2: Convert to fraction form
    225,510.75/331,543.13 = 331,543.13/x
  3. Step 3: Cross multiply
    225,510.75x = 331,543.13 × 331,543.13
  4. Step 4: Simplify right side
    225,510.75x = 109,920,843,734.77
  5. Step 5: Solve for x
    x = 109,920,843,734.77/225,510.75
  6. Step 6: Final answer
    x = 487,430.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.