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Finding the Third Proportional to 143,085.38 and 310,773.38

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Solution

The third proportional to 143,085.38 and 310,773.38 is: 674,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,085.38 : 310,773.38 = 310,773.38 : x
  2. Step 2: Convert to fraction form
    143,085.38/310,773.38 = 310,773.38/x
  3. Step 3: Cross multiply
    143,085.38x = 310,773.38 × 310,773.38
  4. Step 4: Simplify right side
    143,085.38x = 96,580,090,608.89
  5. Step 5: Solve for x
    x = 96,580,090,608.89/143,085.38
  6. Step 6: Final answer
    x = 674,982.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.