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Finding the Third Proportional to 185,270 and 377,101

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Solution

The third proportional to 185,270 and 377,101 is: 767,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,270 : 377,101 = 377,101 : x
  2. Step 2: Convert to fraction form
    185,270/377,101 = 377,101/x
  3. Step 3: Cross multiply
    185,270x = 377,101 × 377,101
  4. Step 4: Simplify right side
    185,270x = 142,205,164,201
  5. Step 5: Solve for x
    x = 142,205,164,201/185,270
  6. Step 6: Final answer
    x = 767,556.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.