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Finding the Third Proportional to 151,936 and 332,464

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Solution

The third proportional to 151,936 and 332,464 is: 727,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,936 : 332,464 = 332,464 : x
  2. Step 2: Convert to fraction form
    151,936/332,464 = 332,464/x
  3. Step 3: Cross multiply
    151,936x = 332,464 × 332,464
  4. Step 4: Simplify right side
    151,936x = 110,532,311,296
  5. Step 5: Solve for x
    x = 110,532,311,296/151,936
  6. Step 6: Final answer
    x = 727,492.57

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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.