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Finding the Third Proportional to 186,917.34 and 410,022.28

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Solution

The third proportional to 186,917.34 and 410,022.28 is: 899,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,917.34 : 410,022.28 = 410,022.28 : x
  2. Step 2: Convert to fraction form
    186,917.34/410,022.28 = 410,022.28/x
  3. Step 3: Cross multiply
    186,917.34x = 410,022.28 × 410,022.28
  4. Step 4: Simplify right side
    186,917.34x = 168,118,271,121.45
  5. Step 5: Solve for x
    x = 168,118,271,121.45/186,917.34
  6. Step 6: Final answer
    x = 899,425.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.