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Finding the Third Proportional to 135,633 and 295,377

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Solution

The third proportional to 135,633 and 295,377 is: 643,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,633 : 295,377 = 295,377 : x
  2. Step 2: Convert to fraction form
    135,633/295,377 = 295,377/x
  3. Step 3: Cross multiply
    135,633x = 295,377 × 295,377
  4. Step 4: Simplify right side
    135,633x = 87,247,572,129
  5. Step 5: Solve for x
    x = 87,247,572,129/135,633
  6. Step 6: Final answer
    x = 643,262.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.