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Finding the Third Proportional to 161,574.75 and 255,728.25

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Solution

The third proportional to 161,574.75 and 255,728.25 is: 404,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,574.75 : 255,728.25 = 255,728.25 : x
  2. Step 2: Convert to fraction form
    161,574.75/255,728.25 = 255,728.25/x
  3. Step 3: Cross multiply
    161,574.75x = 255,728.25 × 255,728.25
  4. Step 4: Simplify right side
    161,574.75x = 65,396,937,848.06
  5. Step 5: Solve for x
    x = 65,396,937,848.06/161,574.75
  6. Step 6: Final answer
    x = 404,747.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.