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Finding the Third Proportional to 171,655.50 and 251,338

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Solution

The third proportional to 171,655.50 and 251,338 is: 368,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,655.50 : 251,338 = 251,338 : x
  2. Step 2: Convert to fraction form
    171,655.50/251,338 = 251,338/x
  3. Step 3: Cross multiply
    171,655.50x = 251,338 × 251,338
  4. Step 4: Simplify right side
    171,655.50x = 63,170,790,244
  5. Step 5: Solve for x
    x = 63,170,790,244/171,655.50
  6. Step 6: Final answer
    x = 368,009.12

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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.