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Finding the Third Proportional to 177,514 and 383,459

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Solution

The third proportional to 177,514 and 383,459 is: 828,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,514 : 383,459 = 383,459 : x
  2. Step 2: Convert to fraction form
    177,514/383,459 = 383,459/x
  3. Step 3: Cross multiply
    177,514x = 383,459 × 383,459
  4. Step 4: Simplify right side
    177,514x = 147,040,804,681
  5. Step 5: Solve for x
    x = 147,040,804,681/177,514
  6. Step 6: Final answer
    x = 828,333.57

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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.