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Finding the Third Proportional to 227,062 and 343,738

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Solution

The third proportional to 227,062 and 343,738 is: 520,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,062 : 343,738 = 343,738 : x
  2. Step 2: Convert to fraction form
    227,062/343,738 = 343,738/x
  3. Step 3: Cross multiply
    227,062x = 343,738 × 343,738
  4. Step 4: Simplify right side
    227,062x = 118,155,812,644
  5. Step 5: Solve for x
    x = 118,155,812,644/227,062
  6. Step 6: Final answer
    x = 520,368.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.