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Finding the Third Proportional to 141,400.69 and 304,944.75

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Solution

The third proportional to 141,400.69 and 304,944.75 is: 657,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,400.69 : 304,944.75 = 304,944.75 : x
  2. Step 2: Convert to fraction form
    141,400.69/304,944.75 = 304,944.75/x
  3. Step 3: Cross multiply
    141,400.69x = 304,944.75 × 304,944.75
  4. Step 4: Simplify right side
    141,400.69x = 92,991,300,552.56
  5. Step 5: Solve for x
    x = 92,991,300,552.56/141,400.69
  6. Step 6: Final answer
    x = 657,643.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.