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Finding the Third Proportional to 270,132 and 582,160.50

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Solution

The third proportional to 270,132 and 582,160.50 is: 1,254,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,132 : 582,160.50 = 582,160.50 : x
  2. Step 2: Convert to fraction form
    270,132/582,160.50 = 582,160.50/x
  3. Step 3: Cross multiply
    270,132x = 582,160.50 × 582,160.50
  4. Step 4: Simplify right side
    270,132x = 338,910,847,760.25
  5. Step 5: Solve for x
    x = 338,910,847,760.25/270,132
  6. Step 6: Final answer
    x = 1,254,612.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.