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Finding the Third Proportional to 186,999.75 and 405,703.50

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Solution

The third proportional to 186,999.75 and 405,703.50 is: 880,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,999.75 : 405,703.50 = 405,703.50 : x
  2. Step 2: Convert to fraction form
    186,999.75/405,703.50 = 405,703.50/x
  3. Step 3: Cross multiply
    186,999.75x = 405,703.50 × 405,703.50
  4. Step 4: Simplify right side
    186,999.75x = 164,595,329,912.25
  5. Step 5: Solve for x
    x = 164,595,329,912.25/186,999.75
  6. Step 6: Final answer
    x = 880,190.11

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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.