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Finding the Third Proportional to 157,879.13 and 301,208.63

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Solution

The third proportional to 157,879.13 and 301,208.63 is: 574,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,879.13 : 301,208.63 = 301,208.63 : x
  2. Step 2: Convert to fraction form
    157,879.13/301,208.63 = 301,208.63/x
  3. Step 3: Cross multiply
    157,879.13x = 301,208.63 × 301,208.63
  4. Step 4: Simplify right side
    157,879.13x = 90,726,635,774.39
  5. Step 5: Solve for x
    x = 90,726,635,774.39/157,879.13
  6. Step 6: Final answer
    x = 574,658.85

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.