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Finding the Third Proportional to 178,577 and 352,738

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Solution

The third proportional to 178,577 and 352,738 is: 696,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,577 : 352,738 = 352,738 : x
  2. Step 2: Convert to fraction form
    178,577/352,738 = 352,738/x
  3. Step 3: Cross multiply
    178,577x = 352,738 × 352,738
  4. Step 4: Simplify right side
    178,577x = 124,424,096,644
  5. Step 5: Solve for x
    x = 124,424,096,644/178,577
  6. Step 6: Final answer
    x = 696,753.20

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.