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Finding the Third Proportional to 133,106 and 289,216

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Solution

The third proportional to 133,106 and 289,216 is: 628,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,106 : 289,216 = 289,216 : x
  2. Step 2: Convert to fraction form
    133,106/289,216 = 289,216/x
  3. Step 3: Cross multiply
    133,106x = 289,216 × 289,216
  4. Step 4: Simplify right side
    133,106x = 83,645,894,656
  5. Step 5: Solve for x
    x = 83,645,894,656/133,106
  6. Step 6: Final answer
    x = 628,415.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.