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Finding the Third Proportional to 185,020 and 393,692

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Solution

The third proportional to 185,020 and 393,692 is: 837,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,020 : 393,692 = 393,692 : x
  2. Step 2: Convert to fraction form
    185,020/393,692 = 393,692/x
  3. Step 3: Cross multiply
    185,020x = 393,692 × 393,692
  4. Step 4: Simplify right side
    185,020x = 154,993,390,864
  5. Step 5: Solve for x
    x = 154,993,390,864/185,020
  6. Step 6: Final answer
    x = 837,711.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.