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Finding the Third Proportional to 151,722.75 and 227,973

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Solution

The third proportional to 151,722.75 and 227,973 is: 342,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,722.75 : 227,973 = 227,973 : x
  2. Step 2: Convert to fraction form
    151,722.75/227,973 = 227,973/x
  3. Step 3: Cross multiply
    151,722.75x = 227,973 × 227,973
  4. Step 4: Simplify right side
    151,722.75x = 51,971,688,729
  5. Step 5: Solve for x
    x = 51,971,688,729/151,722.75
  6. Step 6: Final answer
    x = 342,543.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.