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Finding the Third Proportional to 194,858 and 292,314

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Solution

The third proportional to 194,858 and 292,314 is: 438,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,858 : 292,314 = 292,314 : x
  2. Step 2: Convert to fraction form
    194,858/292,314 = 292,314/x
  3. Step 3: Cross multiply
    194,858x = 292,314 × 292,314
  4. Step 4: Simplify right side
    194,858x = 85,447,474,596
  5. Step 5: Solve for x
    x = 85,447,474,596/194,858
  6. Step 6: Final answer
    x = 438,511.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.