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Finding the Third Proportional to 181,445 and 282,103

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Solution

The third proportional to 181,445 and 282,103 is: 438,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,445 : 282,103 = 282,103 : x
  2. Step 2: Convert to fraction form
    181,445/282,103 = 282,103/x
  3. Step 3: Cross multiply
    181,445x = 282,103 × 282,103
  4. Step 4: Simplify right side
    181,445x = 79,582,102,609
  5. Step 5: Solve for x
    x = 79,582,102,609/181,445
  6. Step 6: Final answer
    x = 438,601.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.