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Finding the Third Proportional to 181,276.50 and 280,114.50

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Solution

The third proportional to 181,276.50 and 280,114.50 is: 432,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,276.50 : 280,114.50 = 280,114.50 : x
  2. Step 2: Convert to fraction form
    181,276.50/280,114.50 = 280,114.50/x
  3. Step 3: Cross multiply
    181,276.50x = 280,114.50 × 280,114.50
  4. Step 4: Simplify right side
    181,276.50x = 78,464,133,110.25
  5. Step 5: Solve for x
    x = 78,464,133,110.25/181,276.50
  6. Step 6: Final answer
    x = 432,842.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.