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Finding the Third Proportional to 160,805 and 242,846

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Solution

The third proportional to 160,805 and 242,846 is: 366,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805 : 242,846 = 242,846 : x
  2. Step 2: Convert to fraction form
    160,805/242,846 = 242,846/x
  3. Step 3: Cross multiply
    160,805x = 242,846 × 242,846
  4. Step 4: Simplify right side
    160,805x = 58,974,179,716
  5. Step 5: Solve for x
    x = 58,974,179,716/160,805
  6. Step 6: Final answer
    x = 366,743.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.