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Finding the Third Proportional to 187,108.42 and 293,180.13

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Solution

The third proportional to 187,108.42 and 293,180.13 is: 459,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,108.42 : 293,180.13 = 293,180.13 : x
  2. Step 2: Convert to fraction form
    187,108.42/293,180.13 = 293,180.13/x
  3. Step 3: Cross multiply
    187,108.42x = 293,180.13 × 293,180.13
  4. Step 4: Simplify right side
    187,108.42x = 85,954,590,275.96
  5. Step 5: Solve for x
    x = 85,954,590,275.96/187,108.42
  6. Step 6: Final answer
    x = 459,383.88

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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.