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Finding the Third Proportional to 189,916 and 300,729

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Solution

The third proportional to 189,916 and 300,729 is: 476,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,916 : 300,729 = 300,729 : x
  2. Step 2: Convert to fraction form
    189,916/300,729 = 300,729/x
  3. Step 3: Cross multiply
    189,916x = 300,729 × 300,729
  4. Step 4: Simplify right side
    189,916x = 90,437,931,441
  5. Step 5: Solve for x
    x = 90,437,931,441/189,916
  6. Step 6: Final answer
    x = 476,199.64

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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.