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Finding the Third Proportional to 228,953 and 336,571

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Solution

The third proportional to 228,953 and 336,571 is: 494,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,953 : 336,571 = 336,571 : x
  2. Step 2: Convert to fraction form
    228,953/336,571 = 336,571/x
  3. Step 3: Cross multiply
    228,953x = 336,571 × 336,571
  4. Step 4: Simplify right side
    228,953x = 113,280,038,041
  5. Step 5: Solve for x
    x = 113,280,038,041/228,953
  6. Step 6: Final answer
    x = 494,774.20

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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.