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Finding the Third Proportional to 237,139.50 and 513,958.50

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Solution

The third proportional to 237,139.50 and 513,958.50 is: 1,113,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,139.50 : 513,958.50 = 513,958.50 : x
  2. Step 2: Convert to fraction form
    237,139.50/513,958.50 = 513,958.50/x
  3. Step 3: Cross multiply
    237,139.50x = 513,958.50 × 513,958.50
  4. Step 4: Simplify right side
    237,139.50x = 264,153,339,722.25
  5. Step 5: Solve for x
    x = 264,153,339,722.25/237,139.50
  6. Step 6: Final answer
    x = 1,113,915.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.