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Finding the Third Proportional to 155,173.50 and 202,083.75

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Solution

The third proportional to 155,173.50 and 202,083.75 is: 263,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,173.50 : 202,083.75 = 202,083.75 : x
  2. Step 2: Convert to fraction form
    155,173.50/202,083.75 = 202,083.75/x
  3. Step 3: Cross multiply
    155,173.50x = 202,083.75 × 202,083.75
  4. Step 4: Simplify right side
    155,173.50x = 40,837,842,014.06
  5. Step 5: Solve for x
    x = 40,837,842,014.06/155,173.50
  6. Step 6: Final answer
    x = 263,175.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.