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Finding the Third Proportional to 280,219.50 and 364,135.50

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Solution

The third proportional to 280,219.50 and 364,135.50 is: 473,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,219.50 : 364,135.50 = 364,135.50 : x
  2. Step 2: Convert to fraction form
    280,219.50/364,135.50 = 364,135.50/x
  3. Step 3: Cross multiply
    280,219.50x = 364,135.50 × 364,135.50
  4. Step 4: Simplify right side
    280,219.50x = 132,594,662,360.25
  5. Step 5: Solve for x
    x = 132,594,662,360.25/280,219.50
  6. Step 6: Final answer
    x = 473,181.43

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.