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Finding the Third Proportional to 228,986 and 336,851

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Solution

The third proportional to 228,986 and 336,851 is: 495,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,986 : 336,851 = 336,851 : x
  2. Step 2: Convert to fraction form
    228,986/336,851 = 336,851/x
  3. Step 3: Cross multiply
    228,986x = 336,851 × 336,851
  4. Step 4: Simplify right side
    228,986x = 113,468,596,201
  5. Step 5: Solve for x
    x = 113,468,596,201/228,986
  6. Step 6: Final answer
    x = 495,526.35

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Why These Related Problems?

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