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Finding the Third Proportional to 151,234.50 and 228,066

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Solution

The third proportional to 151,234.50 and 228,066 is: 343,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,234.50 : 228,066 = 228,066 : x
  2. Step 2: Convert to fraction form
    151,234.50/228,066 = 228,066/x
  3. Step 3: Cross multiply
    151,234.50x = 228,066 × 228,066
  4. Step 4: Simplify right side
    151,234.50x = 52,014,100,356
  5. Step 5: Solve for x
    x = 52,014,100,356/151,234.50
  6. Step 6: Final answer
    x = 343,930.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.