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Finding the Third Proportional to 227,721.38 and 348,484.78

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Solution

The third proportional to 227,721.38 and 348,484.78 is: 533,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,721.38 : 348,484.78 = 348,484.78 : x
  2. Step 2: Convert to fraction form
    227,721.38/348,484.78 = 348,484.78/x
  3. Step 3: Cross multiply
    227,721.38x = 348,484.78 × 348,484.78
  4. Step 4: Simplify right side
    227,721.38x = 121,441,642,762.86
  5. Step 5: Solve for x
    x = 121,441,642,762.86/227,721.38
  6. Step 6: Final answer
    x = 533,290.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.