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Finding the Third Proportional to 151,905 and 332,416

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Solution

The third proportional to 151,905 and 332,416 is: 727,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,905 : 332,416 = 332,416 : x
  2. Step 2: Convert to fraction form
    151,905/332,416 = 332,416/x
  3. Step 3: Cross multiply
    151,905x = 332,416 × 332,416
  4. Step 4: Simplify right side
    151,905x = 110,500,397,056
  5. Step 5: Solve for x
    x = 110,500,397,056/151,905
  6. Step 6: Final answer
    x = 727,430.94

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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.