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Finding the Third Proportional to 132,966 and 289,740

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Solution

The third proportional to 132,966 and 289,740 is: 631,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,966 : 289,740 = 289,740 : x
  2. Step 2: Convert to fraction form
    132,966/289,740 = 289,740/x
  3. Step 3: Cross multiply
    132,966x = 289,740 × 289,740
  4. Step 4: Simplify right side
    132,966x = 83,949,267,600
  5. Step 5: Solve for x
    x = 83,949,267,600/132,966
  6. Step 6: Final answer
    x = 631,358.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.