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Finding the Third Proportional to 192,699 and 293,598

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Solution

The third proportional to 192,699 and 293,598 is: 447,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,699 : 293,598 = 293,598 : x
  2. Step 2: Convert to fraction form
    192,699/293,598 = 293,598/x
  3. Step 3: Cross multiply
    192,699x = 293,598 × 293,598
  4. Step 4: Simplify right side
    192,699x = 86,199,785,604
  5. Step 5: Solve for x
    x = 86,199,785,604/192,699
  6. Step 6: Final answer
    x = 447,328.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.