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Finding the Third Proportional to 235,127 and 342,847

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Solution

The third proportional to 235,127 and 342,847 is: 499,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,127 : 342,847 = 342,847 : x
  2. Step 2: Convert to fraction form
    235,127/342,847 = 342,847/x
  3. Step 3: Cross multiply
    235,127x = 342,847 × 342,847
  4. Step 4: Simplify right side
    235,127x = 117,544,065,409
  5. Step 5: Solve for x
    x = 117,544,065,409/235,127
  6. Step 6: Final answer
    x = 499,917.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.