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Finding the Third Proportional to 144,619.17 and 221,849.51

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Solution

The third proportional to 144,619.17 and 221,849.51 is: 340,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,619.17 : 221,849.51 = 221,849.51 : x
  2. Step 2: Convert to fraction form
    144,619.17/221,849.51 = 221,849.51/x
  3. Step 3: Cross multiply
    144,619.17x = 221,849.51 × 221,849.51
  4. Step 4: Simplify right side
    144,619.17x = 49,217,204,116.65
  5. Step 5: Solve for x
    x = 49,217,204,116.65/144,619.17
  6. Step 6: Final answer
    x = 340,322.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.