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Finding the Third Proportional to 164,212 and 355,414

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Solution

The third proportional to 164,212 and 355,414 is: 769,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,212 : 355,414 = 355,414 : x
  2. Step 2: Convert to fraction form
    164,212/355,414 = 355,414/x
  3. Step 3: Cross multiply
    164,212x = 355,414 × 355,414
  4. Step 4: Simplify right side
    164,212x = 126,319,111,396
  5. Step 5: Solve for x
    x = 126,319,111,396/164,212
  6. Step 6: Final answer
    x = 769,244.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.