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Finding the Third Proportional to 144,051.06 and 311,182.56

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Solution

The third proportional to 144,051.06 and 311,182.56 is: 672,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051.06 : 311,182.56 = 311,182.56 : x
  2. Step 2: Convert to fraction form
    144,051.06/311,182.56 = 311,182.56/x
  3. Step 3: Cross multiply
    144,051.06x = 311,182.56 × 311,182.56
  4. Step 4: Simplify right side
    144,051.06x = 96,834,587,204.07
  5. Step 5: Solve for x
    x = 96,834,587,204.07/144,051.06
  6. Step 6: Final answer
    x = 672,224.04

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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.