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Finding the Third Proportional to 177,530 and 383,492

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Solution

The third proportional to 177,530 and 383,492 is: 828,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,530 : 383,492 = 383,492 : x
  2. Step 2: Convert to fraction form
    177,530/383,492 = 383,492/x
  3. Step 3: Cross multiply
    177,530x = 383,492 × 383,492
  4. Step 4: Simplify right side
    177,530x = 147,066,114,064
  5. Step 5: Solve for x
    x = 147,066,114,064/177,530
  6. Step 6: Final answer
    x = 828,401.48

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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.