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Finding the Third Proportional to 164,020 and 355,274

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Solution

The third proportional to 164,020 and 355,274 is: 769,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020 : 355,274 = 355,274 : x
  2. Step 2: Convert to fraction form
    164,020/355,274 = 355,274/x
  3. Step 3: Cross multiply
    164,020x = 355,274 × 355,274
  4. Step 4: Simplify right side
    164,020x = 126,219,615,076
  5. Step 5: Solve for x
    x = 126,219,615,076/164,020
  6. Step 6: Final answer
    x = 769,537.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.