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Finding the Third Proportional to 127,482.25 and 280,128.50

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Solution

The third proportional to 127,482.25 and 280,128.50 is: 615,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,482.25 : 280,128.50 = 280,128.50 : x
  2. Step 2: Convert to fraction form
    127,482.25/280,128.50 = 280,128.50/x
  3. Step 3: Cross multiply
    127,482.25x = 280,128.50 × 280,128.50
  4. Step 4: Simplify right side
    127,482.25x = 78,471,976,512.25
  5. Step 5: Solve for x
    x = 78,471,976,512.25/127,482.25
  6. Step 6: Final answer
    x = 615,552.18

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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.