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Finding the Third Proportional to 133,025 and 289,324

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Solution

The third proportional to 133,025 and 289,324 is: 629,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 289,324 = 289,324 : x
  2. Step 2: Convert to fraction form
    133,025/289,324 = 289,324/x
  3. Step 3: Cross multiply
    133,025x = 289,324 × 289,324
  4. Step 4: Simplify right side
    133,025x = 83,708,376,976
  5. Step 5: Solve for x
    x = 83,708,376,976/133,025
  6. Step 6: Final answer
    x = 629,268.01

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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.