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Finding the Third Proportional to 158,640 and 332,844

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Solution

The third proportional to 158,640 and 332,844 is: 698,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,640 : 332,844 = 332,844 : x
  2. Step 2: Convert to fraction form
    158,640/332,844 = 332,844/x
  3. Step 3: Cross multiply
    158,640x = 332,844 × 332,844
  4. Step 4: Simplify right side
    158,640x = 110,785,128,336
  5. Step 5: Solve for x
    x = 110,785,128,336/158,640
  6. Step 6: Final answer
    x = 698,342.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.