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Finding the Third Proportional to 206,436.94 and 319,048.03

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Solution

The third proportional to 206,436.94 and 319,048.03 is: 493,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.94 : 319,048.03 = 319,048.03 : x
  2. Step 2: Convert to fraction form
    206,436.94/319,048.03 = 319,048.03/x
  3. Step 3: Cross multiply
    206,436.94x = 319,048.03 × 319,048.03
  4. Step 4: Simplify right side
    206,436.94x = 101,791,646,244.50
  5. Step 5: Solve for x
    x = 101,791,646,244.50/206,436.94
  6. Step 6: Final answer
    x = 493,088.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.