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Finding the Third Proportional to 132,994 and 288,593

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Solution

The third proportional to 132,994 and 288,593 is: 626,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,994 : 288,593 = 288,593 : x
  2. Step 2: Convert to fraction form
    132,994/288,593 = 288,593/x
  3. Step 3: Cross multiply
    132,994x = 288,593 × 288,593
  4. Step 4: Simplify right side
    132,994x = 83,285,919,649
  5. Step 5: Solve for x
    x = 83,285,919,649/132,994
  6. Step 6: Final answer
    x = 626,238.17

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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.