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Finding the Third Proportional to 235,397 and 353,622

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Solution

The third proportional to 235,397 and 353,622 is: 531,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,397 : 353,622 = 353,622 : x
  2. Step 2: Convert to fraction form
    235,397/353,622 = 353,622/x
  3. Step 3: Cross multiply
    235,397x = 353,622 × 353,622
  4. Step 4: Simplify right side
    235,397x = 125,048,518,884
  5. Step 5: Solve for x
    x = 125,048,518,884/235,397
  6. Step 6: Final answer
    x = 531,223.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.