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Finding the Third Proportional to 204,700.50 and 293,117.06

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Solution

The third proportional to 204,700.50 and 293,117.06 is: 419,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,700.50 : 293,117.06 = 293,117.06 : x
  2. Step 2: Convert to fraction form
    204,700.50/293,117.06 = 293,117.06/x
  3. Step 3: Cross multiply
    204,700.50x = 293,117.06 × 293,117.06
  4. Step 4: Simplify right side
    204,700.50x = 85,917,612,328.63
  5. Step 5: Solve for x
    x = 85,917,612,328.63/204,700.50
  6. Step 6: Final answer
    x = 419,723.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.