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Finding the Third Proportional to 194,761 and 294,248

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Solution

The third proportional to 194,761 and 294,248 is: 444,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,761 : 294,248 = 294,248 : x
  2. Step 2: Convert to fraction form
    194,761/294,248 = 294,248/x
  3. Step 3: Cross multiply
    194,761x = 294,248 × 294,248
  4. Step 4: Simplify right side
    194,761x = 86,581,885,504
  5. Step 5: Solve for x
    x = 86,581,885,504/194,761
  6. Step 6: Final answer
    x = 444,554.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.