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Finding the Third Proportional to 177,799.50 and 385,245

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Solution

The third proportional to 177,799.50 and 385,245 is: 834,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,799.50 : 385,245 = 385,245 : x
  2. Step 2: Convert to fraction form
    177,799.50/385,245 = 385,245/x
  3. Step 3: Cross multiply
    177,799.50x = 385,245 × 385,245
  4. Step 4: Simplify right side
    177,799.50x = 148,413,710,025
  5. Step 5: Solve for x
    x = 148,413,710,025/177,799.50
  6. Step 6: Final answer
    x = 834,725.13

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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.