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Finding the Third Proportional to 133,056 and 286,848

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Solution

The third proportional to 133,056 and 286,848 is: 618,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056 : 286,848 = 286,848 : x
  2. Step 2: Convert to fraction form
    133,056/286,848 = 286,848/x
  3. Step 3: Cross multiply
    133,056x = 286,848 × 286,848
  4. Step 4: Simplify right side
    133,056x = 82,281,775,104
  5. Step 5: Solve for x
    x = 82,281,775,104/133,056
  6. Step 6: Final answer
    x = 618,399.58

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Why These Related Problems?

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