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Finding the Third Proportional to 196,423 and 294,310

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Solution

The third proportional to 196,423 and 294,310 is: 440,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,423 : 294,310 = 294,310 : x
  2. Step 2: Convert to fraction form
    196,423/294,310 = 294,310/x
  3. Step 3: Cross multiply
    196,423x = 294,310 × 294,310
  4. Step 4: Simplify right side
    196,423x = 86,618,376,100
  5. Step 5: Solve for x
    x = 86,618,376,100/196,423
  6. Step 6: Final answer
    x = 440,978.79

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