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Finding the Third Proportional to 161,716.50 and 244,830.09

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Solution

The third proportional to 161,716.50 and 244,830.09 is: 370,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,716.50 : 244,830.09 = 244,830.09 : x
  2. Step 2: Convert to fraction form
    161,716.50/244,830.09 = 244,830.09/x
  3. Step 3: Cross multiply
    161,716.50x = 244,830.09 × 244,830.09
  4. Step 4: Simplify right side
    161,716.50x = 59,941,774,805.63
  5. Step 5: Solve for x
    x = 59,941,774,805.63/161,716.50
  6. Step 6: Final answer
    x = 370,659.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.