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Finding the Third Proportional to 194,200.50 and 424,405.50

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Solution

The third proportional to 194,200.50 and 424,405.50 is: 927,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,200.50 : 424,405.50 = 424,405.50 : x
  2. Step 2: Convert to fraction form
    194,200.50/424,405.50 = 424,405.50/x
  3. Step 3: Cross multiply
    194,200.50x = 424,405.50 × 424,405.50
  4. Step 4: Simplify right side
    194,200.50x = 180,120,028,430.25
  5. Step 5: Solve for x
    x = 180,120,028,430.25/194,200.50
  6. Step 6: Final answer
    x = 927,495.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.