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Finding the Third Proportional to 133,836 and 286,991

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Solution

The third proportional to 133,836 and 286,991 is: 615,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,836 : 286,991 = 286,991 : x
  2. Step 2: Convert to fraction form
    133,836/286,991 = 286,991/x
  3. Step 3: Cross multiply
    133,836x = 286,991 × 286,991
  4. Step 4: Simplify right side
    133,836x = 82,363,834,081
  5. Step 5: Solve for x
    x = 82,363,834,081/133,836
  6. Step 6: Final answer
    x = 615,408.66

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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.