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Finding the Third Proportional to 144,894.94 and 311,214.38

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Solution

The third proportional to 144,894.94 and 311,214.38 is: 668,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.94 : 311,214.38 = 311,214.38 : x
  2. Step 2: Convert to fraction form
    144,894.94/311,214.38 = 311,214.38/x
  3. Step 3: Cross multiply
    144,894.94x = 311,214.38 × 311,214.38
  4. Step 4: Simplify right side
    144,894.94x = 96,854,387,206.64
  5. Step 5: Solve for x
    x = 96,854,387,206.64/144,894.94
  6. Step 6: Final answer
    x = 668,445.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.