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Finding the Third Proportional to 205,501.88 and 450,288.75

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Solution

The third proportional to 205,501.88 and 450,288.75 is: 986,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,501.88 : 450,288.75 = 450,288.75 : x
  2. Step 2: Convert to fraction form
    205,501.88/450,288.75 = 450,288.75/x
  3. Step 3: Cross multiply
    205,501.88x = 450,288.75 × 450,288.75
  4. Step 4: Simplify right side
    205,501.88x = 202,759,958,376.56
  5. Step 5: Solve for x
    x = 202,759,958,376.56/205,501.88
  6. Step 6: Final answer
    x = 986,657.46

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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.