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Finding the Third Proportional to 189,798 and 296,199

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Solution

The third proportional to 189,798 and 296,199 is: 462,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,798 : 296,199 = 296,199 : x
  2. Step 2: Convert to fraction form
    189,798/296,199 = 296,199/x
  3. Step 3: Cross multiply
    189,798x = 296,199 × 296,199
  4. Step 4: Simplify right side
    189,798x = 87,733,847,601
  5. Step 5: Solve for x
    x = 87,733,847,601/189,798
  6. Step 6: Final answer
    x = 462,248.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.