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Finding the Third Proportional to 181,485 and 288,272.25

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Solution

The third proportional to 181,485 and 288,272.25 is: 457,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,485 : 288,272.25 = 288,272.25 : x
  2. Step 2: Convert to fraction form
    181,485/288,272.25 = 288,272.25/x
  3. Step 3: Cross multiply
    181,485x = 288,272.25 × 288,272.25
  4. Step 4: Simplify right side
    181,485x = 83,100,890,120.06
  5. Step 5: Solve for x
    x = 83,100,890,120.06/181,485
  6. Step 6: Final answer
    x = 457,893.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.