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Finding the Third Proportional to 133,268 and 286,298

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Solution

The third proportional to 133,268 and 286,298 is: 615,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,268 : 286,298 = 286,298 : x
  2. Step 2: Convert to fraction form
    133,268/286,298 = 286,298/x
  3. Step 3: Cross multiply
    133,268x = 286,298 × 286,298
  4. Step 4: Simplify right side
    133,268x = 81,966,544,804
  5. Step 5: Solve for x
    x = 81,966,544,804/133,268
  6. Step 6: Final answer
    x = 615,050.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.