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Finding the Third Proportional to 146,610 and 242,622

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Solution

The third proportional to 146,610 and 242,622 is: 401,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,610 : 242,622 = 242,622 : x
  2. Step 2: Convert to fraction form
    146,610/242,622 = 242,622/x
  3. Step 3: Cross multiply
    146,610x = 242,622 × 242,622
  4. Step 4: Simplify right side
    146,610x = 58,865,434,884
  5. Step 5: Solve for x
    x = 58,865,434,884/146,610
  6. Step 6: Final answer
    x = 401,510.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.