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Finding the Third Proportional to 196,026 and 293,255.50

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Solution

The third proportional to 196,026 and 293,255.50 is: 438,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,026 : 293,255.50 = 293,255.50 : x
  2. Step 2: Convert to fraction form
    196,026/293,255.50 = 293,255.50/x
  3. Step 3: Cross multiply
    196,026x = 293,255.50 × 293,255.50
  4. Step 4: Simplify right side
    196,026x = 85,998,788,280.25
  5. Step 5: Solve for x
    x = 85,998,788,280.25/196,026
  6. Step 6: Final answer
    x = 438,711.13

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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.