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Finding the Third Proportional to 235,179 and 347,233.50

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Solution

The third proportional to 235,179 and 347,233.50 is: 512,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,179 : 347,233.50 = 347,233.50 : x
  2. Step 2: Convert to fraction form
    235,179/347,233.50 = 347,233.50/x
  3. Step 3: Cross multiply
    235,179x = 347,233.50 × 347,233.50
  4. Step 4: Simplify right side
    235,179x = 120,571,103,522.25
  5. Step 5: Solve for x
    x = 120,571,103,522.25/235,179
  6. Step 6: Final answer
    x = 512,678.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.