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Finding the Third Proportional to 155,225.74 and 227,727.07

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Solution

The third proportional to 155,225.74 and 227,727.07 is: 334,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,225.74 : 227,727.07 = 227,727.07 : x
  2. Step 2: Convert to fraction form
    155,225.74/227,727.07 = 227,727.07/x
  3. Step 3: Cross multiply
    155,225.74x = 227,727.07 × 227,727.07
  4. Step 4: Simplify right side
    155,225.74x = 51,859,618,553.11
  5. Step 5: Solve for x
    x = 51,859,618,553.11/155,225.74
  6. Step 6: Final answer
    x = 334,091.61

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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.