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Finding the Third Proportional to 165,300.75 and 344,908.13

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Solution

The third proportional to 165,300.75 and 344,908.13 is: 719,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300.75 : 344,908.13 = 344,908.13 : x
  2. Step 2: Convert to fraction form
    165,300.75/344,908.13 = 344,908.13/x
  3. Step 3: Cross multiply
    165,300.75x = 344,908.13 × 344,908.13
  4. Step 4: Simplify right side
    165,300.75x = 118,961,614,691.02
  5. Step 5: Solve for x
    x = 118,961,614,691.02/165,300.75
  6. Step 6: Final answer
    x = 719,667.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.