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Finding the Third Proportional to 147,958.50 and 228,843

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Solution

The third proportional to 147,958.50 and 228,843 is: 353,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,958.50 : 228,843 = 228,843 : x
  2. Step 2: Convert to fraction form
    147,958.50/228,843 = 228,843/x
  3. Step 3: Cross multiply
    147,958.50x = 228,843 × 228,843
  4. Step 4: Simplify right side
    147,958.50x = 52,369,118,649
  5. Step 5: Solve for x
    x = 52,369,118,649/147,958.50
  6. Step 6: Final answer
    x = 353,944.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.