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Finding the Third Proportional to 237,880.50 and 347,889

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Solution

The third proportional to 237,880.50 and 347,889 is: 508,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,880.50 : 347,889 = 347,889 : x
  2. Step 2: Convert to fraction form
    237,880.50/347,889 = 347,889/x
  3. Step 3: Cross multiply
    237,880.50x = 347,889 × 347,889
  4. Step 4: Simplify right side
    237,880.50x = 121,026,756,321
  5. Step 5: Solve for x
    x = 121,026,756,321/237,880.50
  6. Step 6: Final answer
    x = 508,771.24

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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.