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Finding the Third Proportional to 190,540.50 and 402,465

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Solution

The third proportional to 190,540.50 and 402,465 is: 850,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,540.50 : 402,465 = 402,465 : x
  2. Step 2: Convert to fraction form
    190,540.50/402,465 = 402,465/x
  3. Step 3: Cross multiply
    190,540.50x = 402,465 × 402,465
  4. Step 4: Simplify right side
    190,540.50x = 161,978,076,225
  5. Step 5: Solve for x
    x = 161,978,076,225/190,540.50
  6. Step 6: Final answer
    x = 850,097.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.