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Finding the Third Proportional to 166,586 and 352,492

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Solution

The third proportional to 166,586 and 352,492 is: 745,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586 : 352,492 = 352,492 : x
  2. Step 2: Convert to fraction form
    166,586/352,492 = 352,492/x
  3. Step 3: Cross multiply
    166,586x = 352,492 × 352,492
  4. Step 4: Simplify right side
    166,586x = 124,250,610,064
  5. Step 5: Solve for x
    x = 124,250,610,064/166,586
  6. Step 6: Final answer
    x = 745,864.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.