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Finding the Third Proportional to 164,153 and 352,827

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Solution

The third proportional to 164,153 and 352,827 is: 758,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,153 : 352,827 = 352,827 : x
  2. Step 2: Convert to fraction form
    164,153/352,827 = 352,827/x
  3. Step 3: Cross multiply
    164,153x = 352,827 × 352,827
  4. Step 4: Simplify right side
    164,153x = 124,486,891,929
  5. Step 5: Solve for x
    x = 124,486,891,929/164,153
  6. Step 6: Final answer
    x = 758,358.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.