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Finding the Third Proportional to 196,000 and 293,236

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Solution

The third proportional to 196,000 and 293,236 is: 438,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,000 : 293,236 = 293,236 : x
  2. Step 2: Convert to fraction form
    196,000/293,236 = 293,236/x
  3. Step 3: Cross multiply
    196,000x = 293,236 × 293,236
  4. Step 4: Simplify right side
    196,000x = 85,987,351,696
  5. Step 5: Solve for x
    x = 85,987,351,696/196,000
  6. Step 6: Final answer
    x = 438,710.98

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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.