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Finding the Third Proportional to 152,103 and 227,922.75

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Solution

The third proportional to 152,103 and 227,922.75 is: 341,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,103 : 227,922.75 = 227,922.75 : x
  2. Step 2: Convert to fraction form
    152,103/227,922.75 = 227,922.75/x
  3. Step 3: Cross multiply
    152,103x = 227,922.75 × 227,922.75
  4. Step 4: Simplify right side
    152,103x = 51,948,779,967.56
  5. Step 5: Solve for x
    x = 51,948,779,967.56/152,103
  6. Step 6: Final answer
    x = 341,536.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.