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Finding the Third Proportional to 186,168 and 401,854.50

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Solution

The third proportional to 186,168 and 401,854.50 is: 867,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,168 : 401,854.50 = 401,854.50 : x
  2. Step 2: Convert to fraction form
    186,168/401,854.50 = 401,854.50/x
  3. Step 3: Cross multiply
    186,168x = 401,854.50 × 401,854.50
  4. Step 4: Simplify right side
    186,168x = 161,487,039,170.25
  5. Step 5: Solve for x
    x = 161,487,039,170.25/186,168
  6. Step 6: Final answer
    x = 867,426.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.