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Finding the Third Proportional to 228,915 and 336,756.75

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Solution

The third proportional to 228,915 and 336,756.75 is: 495,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,915 : 336,756.75 = 336,756.75 : x
  2. Step 2: Convert to fraction form
    228,915/336,756.75 = 336,756.75/x
  3. Step 3: Cross multiply
    228,915x = 336,756.75 × 336,756.75
  4. Step 4: Simplify right side
    228,915x = 113,405,108,670.56
  5. Step 5: Solve for x
    x = 113,405,108,670.56/228,915
  6. Step 6: Final answer
    x = 495,402.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.