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Finding the Third Proportional to 165,007 and 359,642

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Solution

The third proportional to 165,007 and 359,642 is: 783,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,007 : 359,642 = 359,642 : x
  2. Step 2: Convert to fraction form
    165,007/359,642 = 359,642/x
  3. Step 3: Cross multiply
    165,007x = 359,642 × 359,642
  4. Step 4: Simplify right side
    165,007x = 129,342,368,164
  5. Step 5: Solve for x
    x = 129,342,368,164/165,007
  6. Step 6: Final answer
    x = 783,859.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.