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Finding the Third Proportional to 144,892.63 and 311,209.75

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Solution

The third proportional to 144,892.63 and 311,209.75 is: 668,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,892.63 : 311,209.75 = 311,209.75 : x
  2. Step 2: Convert to fraction form
    144,892.63/311,209.75 = 311,209.75/x
  3. Step 3: Cross multiply
    144,892.63x = 311,209.75 × 311,209.75
  4. Step 4: Simplify right side
    144,892.63x = 96,851,508,495.06
  5. Step 5: Solve for x
    x = 96,851,508,495.06/144,892.63
  6. Step 6: Final answer
    x = 668,436.43

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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.