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Finding the Third Proportional to 156,097.13 and 320,053.78

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Solution

The third proportional to 156,097.13 and 320,053.78 is: 656,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,097.13 : 320,053.78 = 320,053.78 : x
  2. Step 2: Convert to fraction form
    156,097.13/320,053.78 = 320,053.78/x
  3. Step 3: Cross multiply
    156,097.13x = 320,053.78 × 320,053.78
  4. Step 4: Simplify right side
    156,097.13x = 102,434,422,892.42
  5. Step 5: Solve for x
    x = 102,434,422,892.42/156,097.13
  6. Step 6: Final answer
    x = 656,222.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.