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Finding the Third Proportional to 202,041 and 313,699.50

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Solution

The third proportional to 202,041 and 313,699.50 is: 487,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,041 : 313,699.50 = 313,699.50 : x
  2. Step 2: Convert to fraction form
    202,041/313,699.50 = 313,699.50/x
  3. Step 3: Cross multiply
    202,041x = 313,699.50 × 313,699.50
  4. Step 4: Simplify right side
    202,041x = 98,407,376,300.25
  5. Step 5: Solve for x
    x = 98,407,376,300.25/202,041
  6. Step 6: Final answer
    x = 487,066.37

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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.