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Finding the Third Proportional to 165,648 and 357,524

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Solution

The third proportional to 165,648 and 357,524 is: 771,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,648 : 357,524 = 357,524 : x
  2. Step 2: Convert to fraction form
    165,648/357,524 = 357,524/x
  3. Step 3: Cross multiply
    165,648x = 357,524 × 357,524
  4. Step 4: Simplify right side
    165,648x = 127,823,410,576
  5. Step 5: Solve for x
    x = 127,823,410,576/165,648
  6. Step 6: Final answer
    x = 771,656.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.