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Finding the Third Proportional to 189,963 and 300,798

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Solution

The third proportional to 189,963 and 300,798 is: 476,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,963 : 300,798 = 300,798 : x
  2. Step 2: Convert to fraction form
    189,963/300,798 = 300,798/x
  3. Step 3: Cross multiply
    189,963x = 300,798 × 300,798
  4. Step 4: Simplify right side
    189,963x = 90,479,436,804
  5. Step 5: Solve for x
    x = 90,479,436,804/189,963
  6. Step 6: Final answer
    x = 476,300.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.