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Finding the Third Proportional to 186,917.50 and 411,201

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Solution

The third proportional to 186,917.50 and 411,201 is: 904,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,917.50 : 411,201 = 411,201 : x
  2. Step 2: Convert to fraction form
    186,917.50/411,201 = 411,201/x
  3. Step 3: Cross multiply
    186,917.50x = 411,201 × 411,201
  4. Step 4: Simplify right side
    186,917.50x = 169,086,262,401
  5. Step 5: Solve for x
    x = 169,086,262,401/186,917.50
  6. Step 6: Final answer
    x = 904,603.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.