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Finding the Third Proportional to 164,817 and 352,962

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Solution

The third proportional to 164,817 and 352,962 is: 755,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,817 : 352,962 = 352,962 : x
  2. Step 2: Convert to fraction form
    164,817/352,962 = 352,962/x
  3. Step 3: Cross multiply
    164,817x = 352,962 × 352,962
  4. Step 4: Simplify right side
    164,817x = 124,582,173,444
  5. Step 5: Solve for x
    x = 124,582,173,444/164,817
  6. Step 6: Final answer
    x = 755,881.82

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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.