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Finding the Third Proportional to 237,913.50 and 517,299

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Solution

The third proportional to 237,913.50 and 517,299 is: 1,124,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,913.50 : 517,299 = 517,299 : x
  2. Step 2: Convert to fraction form
    237,913.50/517,299 = 517,299/x
  3. Step 3: Cross multiply
    237,913.50x = 517,299 × 517,299
  4. Step 4: Simplify right side
    237,913.50x = 267,598,255,401
  5. Step 5: Solve for x
    x = 267,598,255,401/237,913.50
  6. Step 6: Final answer
    x = 1,124,771.21

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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.