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Finding the Third Proportional to 157,244 and 332,236

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Solution

The third proportional to 157,244 and 332,236 is: 701,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,244 : 332,236 = 332,236 : x
  2. Step 2: Convert to fraction form
    157,244/332,236 = 332,236/x
  3. Step 3: Cross multiply
    157,244x = 332,236 × 332,236
  4. Step 4: Simplify right side
    157,244x = 110,380,759,696
  5. Step 5: Solve for x
    x = 110,380,759,696/157,244
  6. Step 6: Final answer
    x = 701,971.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.