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Finding the Third Proportional to 186,745.50 and 405,156.94

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Solution

The third proportional to 186,745.50 and 405,156.94 is: 879,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,745.50 : 405,156.94 = 405,156.94 : x
  2. Step 2: Convert to fraction form
    186,745.50/405,156.94 = 405,156.94/x
  3. Step 3: Cross multiply
    186,745.50x = 405,156.94 × 405,156.94
  4. Step 4: Simplify right side
    186,745.50x = 164,152,144,004.38
  5. Step 5: Solve for x
    x = 164,152,144,004.38/186,745.50
  6. Step 6: Final answer
    x = 879,015.26

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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.