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Finding the Third Proportional to 199,563.75 and 301,411.13

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Solution

The third proportional to 199,563.75 and 301,411.13 is: 455,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,563.75 : 301,411.13 = 301,411.13 : x
  2. Step 2: Convert to fraction form
    199,563.75/301,411.13 = 301,411.13/x
  3. Step 3: Cross multiply
    199,563.75x = 301,411.13 × 301,411.13
  4. Step 4: Simplify right side
    199,563.75x = 90,848,666,273.77
  5. Step 5: Solve for x
    x = 90,848,666,273.77/199,563.75
  6. Step 6: Final answer
    x = 455,236.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.