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Finding the Third Proportional to 136,006 and 308,132

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Solution

The third proportional to 136,006 and 308,132 is: 698,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,006 : 308,132 = 308,132 : x
  2. Step 2: Convert to fraction form
    136,006/308,132 = 308,132/x
  3. Step 3: Cross multiply
    136,006x = 308,132 × 308,132
  4. Step 4: Simplify right side
    136,006x = 94,945,329,424
  5. Step 5: Solve for x
    x = 94,945,329,424/136,006
  6. Step 6: Final answer
    x = 698,096.62

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.