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Finding the Third Proportional to 190,898.75 and 411,301.63

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Solution

The third proportional to 190,898.75 and 411,301.63 is: 886,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,898.75 : 411,301.63 = 411,301.63 : x
  2. Step 2: Convert to fraction form
    190,898.75/411,301.63 = 411,301.63/x
  3. Step 3: Cross multiply
    190,898.75x = 411,301.63 × 411,301.63
  4. Step 4: Simplify right side
    190,898.75x = 169,169,026,727.64
  5. Step 5: Solve for x
    x = 169,169,026,727.64/190,898.75
  6. Step 6: Final answer
    x = 886,171.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.