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Finding the Third Proportional to 164,196 and 353,721

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Solution

The third proportional to 164,196 and 353,721 is: 762,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,196 : 353,721 = 353,721 : x
  2. Step 2: Convert to fraction form
    164,196/353,721 = 353,721/x
  3. Step 3: Cross multiply
    164,196x = 353,721 × 353,721
  4. Step 4: Simplify right side
    164,196x = 125,118,545,841
  5. Step 5: Solve for x
    x = 125,118,545,841/164,196
  6. Step 6: Final answer
    x = 762,007.27

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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.