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Finding the Third Proportional to 194,410.13 and 300,364.88

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Solution

The third proportional to 194,410.13 and 300,364.88 is: 464,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410.13 : 300,364.88 = 300,364.88 : x
  2. Step 2: Convert to fraction form
    194,410.13/300,364.88 = 300,364.88/x
  3. Step 3: Cross multiply
    194,410.13x = 300,364.88 × 300,364.88
  4. Step 4: Simplify right side
    194,410.13x = 90,219,058,133.77
  5. Step 5: Solve for x
    x = 90,219,058,133.77/194,410.13
  6. Step 6: Final answer
    x = 464,065.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.