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Finding the Third Proportional to 237,907.50 and 347,365.50

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Solution

The third proportional to 237,907.50 and 347,365.50 is: 507,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,907.50 : 347,365.50 = 347,365.50 : x
  2. Step 2: Convert to fraction form
    237,907.50/347,365.50 = 347,365.50/x
  3. Step 3: Cross multiply
    237,907.50x = 347,365.50 × 347,365.50
  4. Step 4: Simplify right side
    237,907.50x = 120,662,790,590.25
  5. Step 5: Solve for x
    x = 120,662,790,590.25/237,907.50
  6. Step 6: Final answer
    x = 507,183.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.