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Finding the Third Proportional to 165,125 and 353,578

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Solution

The third proportional to 165,125 and 353,578 is: 757,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,125 : 353,578 = 353,578 : x
  2. Step 2: Convert to fraction form
    165,125/353,578 = 353,578/x
  3. Step 3: Cross multiply
    165,125x = 353,578 × 353,578
  4. Step 4: Simplify right side
    165,125x = 125,017,402,084
  5. Step 5: Solve for x
    x = 125,017,402,084/165,125
  6. Step 6: Final answer
    x = 757,107.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.