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Finding the Third Proportional to 194,132 and 400,648

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Solution

The third proportional to 194,132 and 400,648 is: 826,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,132 : 400,648 = 400,648 : x
  2. Step 2: Convert to fraction form
    194,132/400,648 = 400,648/x
  3. Step 3: Cross multiply
    194,132x = 400,648 × 400,648
  4. Step 4: Simplify right side
    194,132x = 160,518,819,904
  5. Step 5: Solve for x
    x = 160,518,819,904/194,132
  6. Step 6: Final answer
    x = 826,854.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.