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Finding the Third Proportional to 155,194 and 237,299

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Solution

The third proportional to 155,194 and 237,299 is: 362,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,194 : 237,299 = 237,299 : x
  2. Step 2: Convert to fraction form
    155,194/237,299 = 237,299/x
  3. Step 3: Cross multiply
    155,194x = 237,299 × 237,299
  4. Step 4: Simplify right side
    155,194x = 56,310,815,401
  5. Step 5: Solve for x
    x = 56,310,815,401/155,194
  6. Step 6: Final answer
    x = 362,841.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.