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Finding the Third Proportional to 206,400.94 and 431,528.06

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Solution

The third proportional to 206,400.94 and 431,528.06 is: 902,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400.94 : 431,528.06 = 431,528.06 : x
  2. Step 2: Convert to fraction form
    206,400.94/431,528.06 = 431,528.06/x
  3. Step 3: Cross multiply
    206,400.94x = 431,528.06 × 431,528.06
  4. Step 4: Simplify right side
    206,400.94x = 186,216,468,725.00
  5. Step 5: Solve for x
    x = 186,216,468,725.00/206,400.94
  6. Step 6: Final answer
    x = 902,207.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.