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Finding the Third Proportional to 177,972.19 and 383,913

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Solution

The third proportional to 177,972.19 and 383,913 is: 828,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,972.19 : 383,913 = 383,913 : x
  2. Step 2: Convert to fraction form
    177,972.19/383,913 = 383,913/x
  3. Step 3: Cross multiply
    177,972.19x = 383,913 × 383,913
  4. Step 4: Simplify right side
    177,972.19x = 147,389,191,569
  5. Step 5: Solve for x
    x = 147,389,191,569/177,972.19
  6. Step 6: Final answer
    x = 828,158.57

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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.