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Finding the Third Proportional to 170,227.50 and 248,941.50

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Solution

The third proportional to 170,227.50 and 248,941.50 is: 364,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,227.50 : 248,941.50 = 248,941.50 : x
  2. Step 2: Convert to fraction form
    170,227.50/248,941.50 = 248,941.50/x
  3. Step 3: Cross multiply
    170,227.50x = 248,941.50 × 248,941.50
  4. Step 4: Simplify right side
    170,227.50x = 61,971,870,422.25
  5. Step 5: Solve for x
    x = 61,971,870,422.25/170,227.50
  6. Step 6: Final answer
    x = 364,053.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.