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Finding the Third Proportional to 164,649 and 353,842

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Solution

The third proportional to 164,649 and 353,842 is: 760,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,649 : 353,842 = 353,842 : x
  2. Step 2: Convert to fraction form
    164,649/353,842 = 353,842/x
  3. Step 3: Cross multiply
    164,649x = 353,842 × 353,842
  4. Step 4: Simplify right side
    164,649x = 125,204,160,964
  5. Step 5: Solve for x
    x = 125,204,160,964/164,649
  6. Step 6: Final answer
    x = 760,430.74

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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.