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Finding the Third Proportional to 162,088 and 352,546

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Solution

The third proportional to 162,088 and 352,546 is: 766,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,088 : 352,546 = 352,546 : x
  2. Step 2: Convert to fraction form
    162,088/352,546 = 352,546/x
  3. Step 3: Cross multiply
    162,088x = 352,546 × 352,546
  4. Step 4: Simplify right side
    162,088x = 124,288,682,116
  5. Step 5: Solve for x
    x = 124,288,682,116/162,088
  6. Step 6: Final answer
    x = 766,797.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.