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Finding the Third Proportional to 177,236 and 263,294

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Solution

The third proportional to 177,236 and 263,294 is: 391,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,236 : 263,294 = 263,294 : x
  2. Step 2: Convert to fraction form
    177,236/263,294 = 263,294/x
  3. Step 3: Cross multiply
    177,236x = 263,294 × 263,294
  4. Step 4: Simplify right side
    177,236x = 69,323,730,436
  5. Step 5: Solve for x
    x = 69,323,730,436/177,236
  6. Step 6: Final answer
    x = 391,137.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.