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Finding the Third Proportional to 192,699 and 299,097

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Solution

The third proportional to 192,699 and 299,097 is: 464,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,699 : 299,097 = 299,097 : x
  2. Step 2: Convert to fraction form
    192,699/299,097 = 299,097/x
  3. Step 3: Cross multiply
    192,699x = 299,097 × 299,097
  4. Step 4: Simplify right side
    192,699x = 89,459,015,409
  5. Step 5: Solve for x
    x = 89,459,015,409/192,699
  6. Step 6: Final answer
    x = 464,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.