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Finding the Third Proportional to 198,434 and 293,817

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Solution

The third proportional to 198,434 and 293,817 is: 435,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,434 : 293,817 = 293,817 : x
  2. Step 2: Convert to fraction form
    198,434/293,817 = 293,817/x
  3. Step 3: Cross multiply
    198,434x = 293,817 × 293,817
  4. Step 4: Simplify right side
    198,434x = 86,328,429,489
  5. Step 5: Solve for x
    x = 86,328,429,489/198,434
  6. Step 6: Final answer
    x = 435,048.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.