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Finding the Third Proportional to 132,360 and 285,456

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Solution

The third proportional to 132,360 and 285,456 is: 615,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,360 : 285,456 = 285,456 : x
  2. Step 2: Convert to fraction form
    132,360/285,456 = 285,456/x
  3. Step 3: Cross multiply
    132,360x = 285,456 × 285,456
  4. Step 4: Simplify right side
    132,360x = 81,485,127,936
  5. Step 5: Solve for x
    x = 81,485,127,936/132,360
  6. Step 6: Final answer
    x = 615,632.58

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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.