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Finding the Third Proportional to 191,775 and 293,502

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Solution

The third proportional to 191,775 and 293,502 is: 449,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,775 : 293,502 = 293,502 : x
  2. Step 2: Convert to fraction form
    191,775/293,502 = 293,502/x
  3. Step 3: Cross multiply
    191,775x = 293,502 × 293,502
  4. Step 4: Simplify right side
    191,775x = 86,143,424,004
  5. Step 5: Solve for x
    x = 86,143,424,004/191,775
  6. Step 6: Final answer
    x = 449,190.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.