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Finding the Third Proportional to 164,160 and 353,649

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Solution

The third proportional to 164,160 and 353,649 is: 761,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,160 : 353,649 = 353,649 : x
  2. Step 2: Convert to fraction form
    164,160/353,649 = 353,649/x
  3. Step 3: Cross multiply
    164,160x = 353,649 × 353,649
  4. Step 4: Simplify right side
    164,160x = 125,067,615,201
  5. Step 5: Solve for x
    x = 125,067,615,201/164,160
  6. Step 6: Final answer
    x = 761,864.13

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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.