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Finding the Third Proportional to 74,494.69 and 157,600.69

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Solution

The third proportional to 74,494.69 and 157,600.69 is: 333,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,494.69 : 157,600.69 = 157,600.69 : x
  2. Step 2: Convert to fraction form
    74,494.69/157,600.69 = 157,600.69/x
  3. Step 3: Cross multiply
    74,494.69x = 157,600.69 × 157,600.69
  4. Step 4: Simplify right side
    74,494.69x = 24,837,976,700.47
  5. Step 5: Solve for x
    x = 24,837,976,700.47/74,494.69
  6. Step 6: Final answer
    x = 333,419.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.