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Finding the Third Proportional to 194,509.13 and 454,315.50

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Solution

The third proportional to 194,509.13 and 454,315.50 is: 1,061,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,509.13 : 454,315.50 = 454,315.50 : x
  2. Step 2: Convert to fraction form
    194,509.13/454,315.50 = 454,315.50/x
  3. Step 3: Cross multiply
    194,509.13x = 454,315.50 × 454,315.50
  4. Step 4: Simplify right side
    194,509.13x = 206,402,573,540.25
  5. Step 5: Solve for x
    x = 206,402,573,540.25/194,509.13
  6. Step 6: Final answer
    x = 1,061,145.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.