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Finding the Third Proportional to 227,734.50 and 324,412.50

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Solution

The third proportional to 227,734.50 and 324,412.50 is: 462,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,734.50 : 324,412.50 = 324,412.50 : x
  2. Step 2: Convert to fraction form
    227,734.50/324,412.50 = 324,412.50/x
  3. Step 3: Cross multiply
    227,734.50x = 324,412.50 × 324,412.50
  4. Step 4: Simplify right side
    227,734.50x = 105,243,470,156.25
  5. Step 5: Solve for x
    x = 105,243,470,156.25/227,734.50
  6. Step 6: Final answer
    x = 462,132.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.