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Finding the Third Proportional to 176,971 and 383,460

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Solution

The third proportional to 176,971 and 383,460 is: 830,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971 : 383,460 = 383,460 : x
  2. Step 2: Convert to fraction form
    176,971/383,460 = 383,460/x
  3. Step 3: Cross multiply
    176,971x = 383,460 × 383,460
  4. Step 4: Simplify right side
    176,971x = 147,041,571,600
  5. Step 5: Solve for x
    x = 147,041,571,600/176,971
  6. Step 6: Final answer
    x = 830,879.48

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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.