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Finding the Third Proportional to 164,007 and 353,169

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Solution

The third proportional to 164,007 and 353,169 is: 760,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,007 : 353,169 = 353,169 : x
  2. Step 2: Convert to fraction form
    164,007/353,169 = 353,169/x
  3. Step 3: Cross multiply
    164,007x = 353,169 × 353,169
  4. Step 4: Simplify right side
    164,007x = 124,728,342,561
  5. Step 5: Solve for x
    x = 124,728,342,561/164,007
  6. Step 6: Final answer
    x = 760,506.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.