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Finding the Third Proportional to 202,146.75 and 313,437.38

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Solution

The third proportional to 202,146.75 and 313,437.38 is: 485,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,146.75 : 313,437.38 = 313,437.38 : x
  2. Step 2: Convert to fraction form
    202,146.75/313,437.38 = 313,437.38/x
  3. Step 3: Cross multiply
    202,146.75x = 313,437.38 × 313,437.38
  4. Step 4: Simplify right side
    202,146.75x = 98,242,988,046.89
  5. Step 5: Solve for x
    x = 98,242,988,046.89/202,146.75
  6. Step 6: Final answer
    x = 485,998.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.