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Finding the Third Proportional to 177,510 and 383,454

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Solution

The third proportional to 177,510 and 383,454 is: 828,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,510 : 383,454 = 383,454 : x
  2. Step 2: Convert to fraction form
    177,510/383,454 = 383,454/x
  3. Step 3: Cross multiply
    177,510x = 383,454 × 383,454
  4. Step 4: Simplify right side
    177,510x = 147,036,970,116
  5. Step 5: Solve for x
    x = 147,036,970,116/177,510
  6. Step 6: Final answer
    x = 828,330.63

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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.