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Finding the Third Proportional to 165,672.75 and 357,783

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Solution

The third proportional to 165,672.75 and 357,783 is: 772,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672.75 : 357,783 = 357,783 : x
  2. Step 2: Convert to fraction form
    165,672.75/357,783 = 357,783/x
  3. Step 3: Cross multiply
    165,672.75x = 357,783 × 357,783
  4. Step 4: Simplify right side
    165,672.75x = 128,008,675,089
  5. Step 5: Solve for x
    x = 128,008,675,089/165,672.75
  6. Step 6: Final answer
    x = 772,659.81

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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.