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Finding the Third Proportional to 165,057.75 and 242,893.69

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Solution

The third proportional to 165,057.75 and 242,893.69 is: 357,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057.75 : 242,893.69 = 242,893.69 : x
  2. Step 2: Convert to fraction form
    165,057.75/242,893.69 = 242,893.69/x
  3. Step 3: Cross multiply
    165,057.75x = 242,893.69 × 242,893.69
  4. Step 4: Simplify right side
    165,057.75x = 58,997,343,427.35
  5. Step 5: Solve for x
    x = 58,997,343,427.35/165,057.75
  6. Step 6: Final answer
    x = 357,434.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.