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Finding the Third Proportional to 177,444 and 383,310

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Solution

The third proportional to 177,444 and 383,310 is: 828,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,444 : 383,310 = 383,310 : x
  2. Step 2: Convert to fraction form
    177,444/383,310 = 383,310/x
  3. Step 3: Cross multiply
    177,444x = 383,310 × 383,310
  4. Step 4: Simplify right side
    177,444x = 146,926,556,100
  5. Step 5: Solve for x
    x = 146,926,556,100/177,444
  6. Step 6: Final answer
    x = 828,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.