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Finding the Third Proportional to 254,667.38 and 344,633.06

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Solution

The third proportional to 254,667.38 and 344,633.06 is: 466,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,667.38 : 344,633.06 = 344,633.06 : x
  2. Step 2: Convert to fraction form
    254,667.38/344,633.06 = 344,633.06/x
  3. Step 3: Cross multiply
    254,667.38x = 344,633.06 × 344,633.06
  4. Step 4: Simplify right side
    254,667.38x = 118,771,947,768.13
  5. Step 5: Solve for x
    x = 118,771,947,768.13/254,667.38
  6. Step 6: Final answer
    x = 466,380.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.