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Finding the Third Proportional to 194,199 and 262,377.75

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Solution

The third proportional to 194,199 and 262,377.75 is: 354,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,199 : 262,377.75 = 262,377.75 : x
  2. Step 2: Convert to fraction form
    194,199/262,377.75 = 262,377.75/x
  3. Step 3: Cross multiply
    194,199x = 262,377.75 × 262,377.75
  4. Step 4: Simplify right side
    194,199x = 68,842,083,695.06
  5. Step 5: Solve for x
    x = 68,842,083,695.06/194,199
  6. Step 6: Final answer
    x = 354,492.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.