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Finding the Third Proportional to 151,812 and 332,656

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Solution

The third proportional to 151,812 and 332,656 is: 728,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,812 : 332,656 = 332,656 : x
  2. Step 2: Convert to fraction form
    151,812/332,656 = 332,656/x
  3. Step 3: Cross multiply
    151,812x = 332,656 × 332,656
  4. Step 4: Simplify right side
    151,812x = 110,660,014,336
  5. Step 5: Solve for x
    x = 110,660,014,336/151,812
  6. Step 6: Final answer
    x = 728,927.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.