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Finding the Third Proportional to 133,039 and 289,043

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Solution

The third proportional to 133,039 and 289,043 is: 627,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039 : 289,043 = 289,043 : x
  2. Step 2: Convert to fraction form
    133,039/289,043 = 289,043/x
  3. Step 3: Cross multiply
    133,039x = 289,043 × 289,043
  4. Step 4: Simplify right side
    133,039x = 83,545,855,849
  5. Step 5: Solve for x
    x = 83,545,855,849/133,039
  6. Step 6: Final answer
    x = 627,980.19

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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.