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Finding the Third Proportional to 227,748 and 324,432

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Solution

The third proportional to 227,748 and 324,432 is: 462,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,748 : 324,432 = 324,432 : x
  2. Step 2: Convert to fraction form
    227,748/324,432 = 324,432/x
  3. Step 3: Cross multiply
    227,748x = 324,432 × 324,432
  4. Step 4: Simplify right side
    227,748x = 105,256,122,624
  5. Step 5: Solve for x
    x = 105,256,122,624/227,748
  6. Step 6: Final answer
    x = 462,160.47

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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.