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Finding the Third Proportional to 114,932 and 246,712

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Solution

The third proportional to 114,932 and 246,712 is: 529,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932 : 246,712 = 246,712 : x
  2. Step 2: Convert to fraction form
    114,932/246,712 = 246,712/x
  3. Step 3: Cross multiply
    114,932x = 246,712 × 246,712
  4. Step 4: Simplify right side
    114,932x = 60,866,810,944
  5. Step 5: Solve for x
    x = 60,866,810,944/114,932
  6. Step 6: Final answer
    x = 529,589.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.