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Finding the Third Proportional to 133,522 and 207,947

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Solution

The third proportional to 133,522 and 207,947 is: 323,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,522 : 207,947 = 207,947 : x
  2. Step 2: Convert to fraction form
    133,522/207,947 = 207,947/x
  3. Step 3: Cross multiply
    133,522x = 207,947 × 207,947
  4. Step 4: Simplify right side
    133,522x = 43,241,954,809
  5. Step 5: Solve for x
    x = 43,241,954,809/133,522
  6. Step 6: Final answer
    x = 323,856.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.