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Finding the Third Proportional to 148,286 and 349,880.50

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Solution

The third proportional to 148,286 and 349,880.50 is: 825,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,286 : 349,880.50 = 349,880.50 : x
  2. Step 2: Convert to fraction form
    148,286/349,880.50 = 349,880.50/x
  3. Step 3: Cross multiply
    148,286x = 349,880.50 × 349,880.50
  4. Step 4: Simplify right side
    148,286x = 122,416,364,280.25
  5. Step 5: Solve for x
    x = 122,416,364,280.25/148,286
  6. Step 6: Final answer
    x = 825,542.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.