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Finding the Third Proportional to 227,298 and 347,865

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Solution

The third proportional to 227,298 and 347,865 is: 532,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,298 : 347,865 = 347,865 : x
  2. Step 2: Convert to fraction form
    227,298/347,865 = 347,865/x
  3. Step 3: Cross multiply
    227,298x = 347,865 × 347,865
  4. Step 4: Simplify right side
    227,298x = 121,010,058,225
  5. Step 5: Solve for x
    x = 121,010,058,225/227,298
  6. Step 6: Final answer
    x = 532,385.05

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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.