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Finding the Third Proportional to 177,047 and 383,627

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Solution

The third proportional to 177,047 and 383,627 is: 831,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,047 : 383,627 = 383,627 : x
  2. Step 2: Convert to fraction form
    177,047/383,627 = 383,627/x
  3. Step 3: Cross multiply
    177,047x = 383,627 × 383,627
  4. Step 4: Simplify right side
    177,047x = 147,169,675,129
  5. Step 5: Solve for x
    x = 147,169,675,129/177,047
  6. Step 6: Final answer
    x = 831,246.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.