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Finding the Third Proportional to 151,836 and 332,276

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Solution

The third proportional to 151,836 and 332,276 is: 727,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,836 : 332,276 = 332,276 : x
  2. Step 2: Convert to fraction form
    151,836/332,276 = 332,276/x
  3. Step 3: Cross multiply
    151,836x = 332,276 × 332,276
  4. Step 4: Simplify right side
    151,836x = 110,407,340,176
  5. Step 5: Solve for x
    x = 110,407,340,176/151,836
  6. Step 6: Final answer
    x = 727,148.64

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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.