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Finding the Third Proportional to 133,832.25 and 286,983

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Solution

The third proportional to 133,832.25 and 286,983 is: 615,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,832.25 : 286,983 = 286,983 : x
  2. Step 2: Convert to fraction form
    133,832.25/286,983 = 286,983/x
  3. Step 3: Cross multiply
    133,832.25x = 286,983 × 286,983
  4. Step 4: Simplify right side
    133,832.25x = 82,359,242,289
  5. Step 5: Solve for x
    x = 82,359,242,289/133,832.25
  6. Step 6: Final answer
    x = 615,391.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.