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Finding the Third Proportional to 136,404 and 296,137

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Solution

The third proportional to 136,404 and 296,137 is: 642,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,404 : 296,137 = 296,137 : x
  2. Step 2: Convert to fraction form
    136,404/296,137 = 296,137/x
  3. Step 3: Cross multiply
    136,404x = 296,137 × 296,137
  4. Step 4: Simplify right side
    136,404x = 87,697,122,769
  5. Step 5: Solve for x
    x = 87,697,122,769/136,404
  6. Step 6: Final answer
    x = 642,921.93

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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.