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Finding the Third Proportional to 132,947 and 287,022

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Solution

The third proportional to 132,947 and 287,022 is: 619,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,947 : 287,022 = 287,022 : x
  2. Step 2: Convert to fraction form
    132,947/287,022 = 287,022/x
  3. Step 3: Cross multiply
    132,947x = 287,022 × 287,022
  4. Step 4: Simplify right side
    132,947x = 82,381,628,484
  5. Step 5: Solve for x
    x = 82,381,628,484/132,947
  6. Step 6: Final answer
    x = 619,657.67

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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.