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Finding the Third Proportional to 228,753 and 347,018

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Solution

The third proportional to 228,753 and 347,018 is: 526,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,753 : 347,018 = 347,018 : x
  2. Step 2: Convert to fraction form
    228,753/347,018 = 347,018/x
  3. Step 3: Cross multiply
    228,753x = 347,018 × 347,018
  4. Step 4: Simplify right side
    228,753x = 120,421,492,324
  5. Step 5: Solve for x
    x = 120,421,492,324/228,753
  6. Step 6: Final answer
    x = 526,425.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.