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Finding the Third Proportional to 164,802 and 352,934

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Solution

The third proportional to 164,802 and 352,934 is: 755,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,802 : 352,934 = 352,934 : x
  2. Step 2: Convert to fraction form
    164,802/352,934 = 352,934/x
  3. Step 3: Cross multiply
    164,802x = 352,934 × 352,934
  4. Step 4: Simplify right side
    164,802x = 124,562,408,356
  5. Step 5: Solve for x
    x = 124,562,408,356/164,802
  6. Step 6: Final answer
    x = 755,830.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.