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Finding the Third Proportional to 186,526 and 295,805

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Solution

The third proportional to 186,526 and 295,805 is: 469,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,526 : 295,805 = 295,805 : x
  2. Step 2: Convert to fraction form
    186,526/295,805 = 295,805/x
  3. Step 3: Cross multiply
    186,526x = 295,805 × 295,805
  4. Step 4: Simplify right side
    186,526x = 87,500,598,025
  5. Step 5: Solve for x
    x = 87,500,598,025/186,526
  6. Step 6: Final answer
    x = 469,106.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.