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Finding the Third Proportional to 151,946 and 332,520

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Solution

The third proportional to 151,946 and 332,520 is: 727,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,946 : 332,520 = 332,520 : x
  2. Step 2: Convert to fraction form
    151,946/332,520 = 332,520/x
  3. Step 3: Cross multiply
    151,946x = 332,520 × 332,520
  4. Step 4: Simplify right side
    151,946x = 110,569,550,400
  5. Step 5: Solve for x
    x = 110,569,550,400/151,946
  6. Step 6: Final answer
    x = 727,689.77

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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.