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Finding the Third Proportional to 151,039.69 and 349,151.13

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Solution

The third proportional to 151,039.69 and 349,151.13 is: 807,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,039.69 : 349,151.13 = 349,151.13 : x
  2. Step 2: Convert to fraction form
    151,039.69/349,151.13 = 349,151.13/x
  3. Step 3: Cross multiply
    151,039.69x = 349,151.13 × 349,151.13
  4. Step 4: Simplify right side
    151,039.69x = 121,906,513,544.25
  5. Step 5: Solve for x
    x = 121,906,513,544.25/151,039.69
  6. Step 6: Final answer
    x = 807,115.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.