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Finding the Third Proportional to 146,711 and 228,833

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Solution

The third proportional to 146,711 and 228,833 is: 356,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,711 : 228,833 = 228,833 : x
  2. Step 2: Convert to fraction form
    146,711/228,833 = 228,833/x
  3. Step 3: Cross multiply
    146,711x = 228,833 × 228,833
  4. Step 4: Simplify right side
    146,711x = 52,364,541,889
  5. Step 5: Solve for x
    x = 52,364,541,889/146,711
  6. Step 6: Final answer
    x = 356,923.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.