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Finding the Third Proportional to 205,800.50 and 450,955

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Solution

The third proportional to 205,800.50 and 450,955 is: 988,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,800.50 : 450,955 = 450,955 : x
  2. Step 2: Convert to fraction form
    205,800.50/450,955 = 450,955/x
  3. Step 3: Cross multiply
    205,800.50x = 450,955 × 450,955
  4. Step 4: Simplify right side
    205,800.50x = 203,360,412,025
  5. Step 5: Solve for x
    x = 203,360,412,025/205,800.50
  6. Step 6: Final answer
    x = 988,143.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.