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Finding the Third Proportional to 65,458.13 and 157,448.81

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Solution

The third proportional to 65,458.13 and 157,448.81 is: 378,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.13 : 157,448.81 = 157,448.81 : x
  2. Step 2: Convert to fraction form
    65,458.13/157,448.81 = 157,448.81/x
  3. Step 3: Cross multiply
    65,458.13x = 157,448.81 × 157,448.81
  4. Step 4: Simplify right side
    65,458.13x = 24,790,128,557.66
  5. Step 5: Solve for x
    x = 24,790,128,557.66/65,458.13
  6. Step 6: Final answer
    x = 378,717.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.