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Finding the Third Proportional to 227,748 and 324,431

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Solution

The third proportional to 227,748 and 324,431 is: 462,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,748 : 324,431 = 324,431 : x
  2. Step 2: Convert to fraction form
    227,748/324,431 = 324,431/x
  3. Step 3: Cross multiply
    227,748x = 324,431 × 324,431
  4. Step 4: Simplify right side
    227,748x = 105,255,473,761
  5. Step 5: Solve for x
    x = 105,255,473,761/227,748
  6. Step 6: Final answer
    x = 462,157.62

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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.