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Finding the Third Proportional to 228,346.50 and 347,907

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Solution

The third proportional to 228,346.50 and 347,907 is: 530,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,346.50 : 347,907 = 347,907 : x
  2. Step 2: Convert to fraction form
    228,346.50/347,907 = 347,907/x
  3. Step 3: Cross multiply
    228,346.50x = 347,907 × 347,907
  4. Step 4: Simplify right side
    228,346.50x = 121,039,280,649
  5. Step 5: Solve for x
    x = 121,039,280,649/228,346.50
  6. Step 6: Final answer
    x = 530,068.47

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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.