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Finding the Third Proportional to 186,974 and 400,515.50

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Solution

The third proportional to 186,974 and 400,515.50 is: 857,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,974 : 400,515.50 = 400,515.50 : x
  2. Step 2: Convert to fraction form
    186,974/400,515.50 = 400,515.50/x
  3. Step 3: Cross multiply
    186,974x = 400,515.50 × 400,515.50
  4. Step 4: Simplify right side
    186,974x = 160,412,665,740.25
  5. Step 5: Solve for x
    x = 160,412,665,740.25/186,974
  6. Step 6: Final answer
    x = 857,941.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.