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Finding the Third Proportional to 187,118 and 293,195

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Solution

The third proportional to 187,118 and 293,195 is: 459,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,118 : 293,195 = 293,195 : x
  2. Step 2: Convert to fraction form
    187,118/293,195 = 293,195/x
  3. Step 3: Cross multiply
    187,118x = 293,195 × 293,195
  4. Step 4: Simplify right side
    187,118x = 85,963,308,025
  5. Step 5: Solve for x
    x = 85,963,308,025/187,118
  6. Step 6: Final answer
    x = 459,406.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.