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Finding the Third Proportional to 153,192 and 327,426

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Solution

The third proportional to 153,192 and 327,426 is: 699,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,192 : 327,426 = 327,426 : x
  2. Step 2: Convert to fraction form
    153,192/327,426 = 327,426/x
  3. Step 3: Cross multiply
    153,192x = 327,426 × 327,426
  4. Step 4: Simplify right side
    153,192x = 107,207,785,476
  5. Step 5: Solve for x
    x = 107,207,785,476/153,192
  6. Step 6: Final answer
    x = 699,826.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.