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Finding the Third Proportional to 177,532 and 383,496

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Solution

The third proportional to 177,532 and 383,496 is: 828,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,532 : 383,496 = 383,496 : x
  2. Step 2: Convert to fraction form
    177,532/383,496 = 383,496/x
  3. Step 3: Cross multiply
    177,532x = 383,496 × 383,496
  4. Step 4: Simplify right side
    177,532x = 147,069,182,016
  5. Step 5: Solve for x
    x = 147,069,182,016/177,532
  6. Step 6: Final answer
    x = 828,409.42

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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.