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Finding the Third Proportional to 196,023 and 293,259

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Solution

The third proportional to 196,023 and 293,259 is: 438,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,023 : 293,259 = 293,259 : x
  2. Step 2: Convert to fraction form
    196,023/293,259 = 293,259/x
  3. Step 3: Cross multiply
    196,023x = 293,259 × 293,259
  4. Step 4: Simplify right side
    196,023x = 86,000,841,081
  5. Step 5: Solve for x
    x = 86,000,841,081/196,023
  6. Step 6: Final answer
    x = 438,728.32

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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.