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Finding the Third Proportional to 194,521.50 and 402,543

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Solution

The third proportional to 194,521.50 and 402,543 is: 833,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,521.50 : 402,543 = 402,543 : x
  2. Step 2: Convert to fraction form
    194,521.50/402,543 = 402,543/x
  3. Step 3: Cross multiply
    194,521.50x = 402,543 × 402,543
  4. Step 4: Simplify right side
    194,521.50x = 162,040,866,849
  5. Step 5: Solve for x
    x = 162,040,866,849/194,521.50
  6. Step 6: Final answer
    x = 833,022.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.