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Finding the Third Proportional to 146,616 and 228,678

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Solution

The third proportional to 146,616 and 228,678 is: 356,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,616 : 228,678 = 228,678 : x
  2. Step 2: Convert to fraction form
    146,616/228,678 = 228,678/x
  3. Step 3: Cross multiply
    146,616x = 228,678 × 228,678
  4. Step 4: Simplify right side
    146,616x = 52,293,627,684
  5. Step 5: Solve for x
    x = 52,293,627,684/146,616
  6. Step 6: Final answer
    x = 356,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.