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Finding the Third Proportional to 155,657.06 and 227,934.56

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Solution

The third proportional to 155,657.06 and 227,934.56 is: 333,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,657.06 : 227,934.56 = 227,934.56 : x
  2. Step 2: Convert to fraction form
    155,657.06/227,934.56 = 227,934.56/x
  3. Step 3: Cross multiply
    155,657.06x = 227,934.56 × 227,934.56
  4. Step 4: Simplify right side
    155,657.06x = 51,954,164,782.07
  5. Step 5: Solve for x
    x = 51,954,164,782.07/155,657.06
  6. Step 6: Final answer
    x = 333,773.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.