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Finding the Third Proportional to 190,441.13 and 407,119.50

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Solution

The third proportional to 190,441.13 and 407,119.50 is: 870,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,441.13 : 407,119.50 = 407,119.50 : x
  2. Step 2: Convert to fraction form
    190,441.13/407,119.50 = 407,119.50/x
  3. Step 3: Cross multiply
    190,441.13x = 407,119.50 × 407,119.50
  4. Step 4: Simplify right side
    190,441.13x = 165,746,287,280.25
  5. Step 5: Solve for x
    x = 165,746,287,280.25/190,441.13
  6. Step 6: Final answer
    x = 870,328.23

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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.