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Finding the Third Proportional to 183,566.50 and 377,015

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Solution

The third proportional to 183,566.50 and 377,015 is: 774,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,566.50 : 377,015 = 377,015 : x
  2. Step 2: Convert to fraction form
    183,566.50/377,015 = 377,015/x
  3. Step 3: Cross multiply
    183,566.50x = 377,015 × 377,015
  4. Step 4: Simplify right side
    183,566.50x = 142,140,310,225
  5. Step 5: Solve for x
    x = 142,140,310,225/183,566.50
  6. Step 6: Final answer
    x = 774,325.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.