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Finding the Third Proportional to 196,023 and 293,251.50

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Solution

The third proportional to 196,023 and 293,251.50 is: 438,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,023 : 293,251.50 = 293,251.50 : x
  2. Step 2: Convert to fraction form
    196,023/293,251.50 = 293,251.50/x
  3. Step 3: Cross multiply
    196,023x = 293,251.50 × 293,251.50
  4. Step 4: Simplify right side
    196,023x = 85,996,442,252.25
  5. Step 5: Solve for x
    x = 85,996,442,252.25/196,023
  6. Step 6: Final answer
    x = 438,705.88

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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.