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Finding the Third Proportional to 227,746.13 and 324,428.63

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Solution

The third proportional to 227,746.13 and 324,428.63 is: 462,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,746.13 : 324,428.63 = 324,428.63 : x
  2. Step 2: Convert to fraction form
    227,746.13/324,428.63 = 324,428.63/x
  3. Step 3: Cross multiply
    227,746.13x = 324,428.63 × 324,428.63
  4. Step 4: Simplify right side
    227,746.13x = 105,253,932,719.39
  5. Step 5: Solve for x
    x = 105,253,932,719.39/227,746.13
  6. Step 6: Final answer
    x = 462,154.66

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