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Finding the Third Proportional to 227,434 and 348,107

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Solution

The third proportional to 227,434 and 348,107 is: 532,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434 : 348,107 = 348,107 : x
  2. Step 2: Convert to fraction form
    227,434/348,107 = 348,107/x
  3. Step 3: Cross multiply
    227,434x = 348,107 × 348,107
  4. Step 4: Simplify right side
    227,434x = 121,178,483,449
  5. Step 5: Solve for x
    x = 121,178,483,449/227,434
  6. Step 6: Final answer
    x = 532,807.25

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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.