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Finding the Third Proportional to 151,904 and 332,402

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Solution

The third proportional to 151,904 and 332,402 is: 727,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,904 : 332,402 = 332,402 : x
  2. Step 2: Convert to fraction form
    151,904/332,402 = 332,402/x
  3. Step 3: Cross multiply
    151,904x = 332,402 × 332,402
  4. Step 4: Simplify right side
    151,904x = 110,491,089,604
  5. Step 5: Solve for x
    x = 110,491,089,604/151,904
  6. Step 6: Final answer
    x = 727,374.46

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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.