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Finding the Third Proportional to 151,896 and 332,382

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Solution

The third proportional to 151,896 and 332,382 is: 727,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,896 : 332,382 = 332,382 : x
  2. Step 2: Convert to fraction form
    151,896/332,382 = 332,382/x
  3. Step 3: Cross multiply
    151,896x = 332,382 × 332,382
  4. Step 4: Simplify right side
    151,896x = 110,477,793,924
  5. Step 5: Solve for x
    x = 110,477,793,924/151,896
  6. Step 6: Final answer
    x = 727,325.24

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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.