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Finding the Third Proportional to 133,543.13 and 315,241.31

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Solution

The third proportional to 133,543.13 and 315,241.31 is: 744,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,543.13 : 315,241.31 = 315,241.31 : x
  2. Step 2: Convert to fraction form
    133,543.13/315,241.31 = 315,241.31/x
  3. Step 3: Cross multiply
    133,543.13x = 315,241.31 × 315,241.31
  4. Step 4: Simplify right side
    133,543.13x = 99,377,085,106.72
  5. Step 5: Solve for x
    x = 99,377,085,106.72/133,543.13
  6. Step 6: Final answer
    x = 744,157.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.