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Finding the Third Proportional to 176,577 and 383,255

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Solution

The third proportional to 176,577 and 383,255 is: 831,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,577 : 383,255 = 383,255 : x
  2. Step 2: Convert to fraction form
    176,577/383,255 = 383,255/x
  3. Step 3: Cross multiply
    176,577x = 383,255 × 383,255
  4. Step 4: Simplify right side
    176,577x = 146,884,395,025
  5. Step 5: Solve for x
    x = 146,884,395,025/176,577
  6. Step 6: Final answer
    x = 831,843.30

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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.