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Finding the Third Proportional to 192,664 and 293,541

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Solution

The third proportional to 192,664 and 293,541 is: 447,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,664 : 293,541 = 293,541 : x
  2. Step 2: Convert to fraction form
    192,664/293,541 = 293,541/x
  3. Step 3: Cross multiply
    192,664x = 293,541 × 293,541
  4. Step 4: Simplify right side
    192,664x = 86,166,318,681
  5. Step 5: Solve for x
    x = 86,166,318,681/192,664
  6. Step 6: Final answer
    x = 447,236.22

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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.