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Finding the Third Proportional to 190,381.50 and 414,915.75

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Solution

The third proportional to 190,381.50 and 414,915.75 is: 904,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,381.50 : 414,915.75 = 414,915.75 : x
  2. Step 2: Convert to fraction form
    190,381.50/414,915.75 = 414,915.75/x
  3. Step 3: Cross multiply
    190,381.50x = 414,915.75 × 414,915.75
  4. Step 4: Simplify right side
    190,381.50x = 172,155,079,598.06
  5. Step 5: Solve for x
    x = 172,155,079,598.06/190,381.50
  6. Step 6: Final answer
    x = 904,263.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.