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Finding the Third Proportional to 162,924.75 and 227,610

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Solution

The third proportional to 162,924.75 and 227,610 is: 317,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,924.75 : 227,610 = 227,610 : x
  2. Step 2: Convert to fraction form
    162,924.75/227,610 = 227,610/x
  3. Step 3: Cross multiply
    162,924.75x = 227,610 × 227,610
  4. Step 4: Simplify right side
    162,924.75x = 51,806,312,100
  5. Step 5: Solve for x
    x = 51,806,312,100/162,924.75
  6. Step 6: Final answer
    x = 317,976.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.