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Finding the Third Proportional to 127,467 and 280,084.50

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Solution

The third proportional to 127,467 and 280,084.50 is: 615,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,467 : 280,084.50 = 280,084.50 : x
  2. Step 2: Convert to fraction form
    127,467/280,084.50 = 280,084.50/x
  3. Step 3: Cross multiply
    127,467x = 280,084.50 × 280,084.50
  4. Step 4: Simplify right side
    127,467x = 78,447,327,140.25
  5. Step 5: Solve for x
    x = 78,447,327,140.25/127,467
  6. Step 6: Final answer
    x = 615,432.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.