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Finding the Third Proportional to 153,010.27 and 328,163.91

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Solution

The third proportional to 153,010.27 and 328,163.91 is: 703,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010.27 : 328,163.91 = 328,163.91 : x
  2. Step 2: Convert to fraction form
    153,010.27/328,163.91 = 328,163.91/x
  3. Step 3: Cross multiply
    153,010.27x = 328,163.91 × 328,163.91
  4. Step 4: Simplify right side
    153,010.27x = 107,691,549,365.26
  5. Step 5: Solve for x
    x = 107,691,549,365.26/153,010.27
  6. Step 6: Final answer
    x = 703,819.11

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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.