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Finding the Third Proportional to 151,532 and 224,367

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Solution

The third proportional to 151,532 and 224,367 is: 332,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,532 : 224,367 = 224,367 : x
  2. Step 2: Convert to fraction form
    151,532/224,367 = 224,367/x
  3. Step 3: Cross multiply
    151,532x = 224,367 × 224,367
  4. Step 4: Simplify right side
    151,532x = 50,340,550,689
  5. Step 5: Solve for x
    x = 50,340,550,689/151,532
  6. Step 6: Final answer
    x = 332,210.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.