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Finding the Third Proportional to 194,368.50 and 426,105

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Solution

The third proportional to 194,368.50 and 426,105 is: 934,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,368.50 : 426,105 = 426,105 : x
  2. Step 2: Convert to fraction form
    194,368.50/426,105 = 426,105/x
  3. Step 3: Cross multiply
    194,368.50x = 426,105 × 426,105
  4. Step 4: Simplify right side
    194,368.50x = 181,565,471,025
  5. Step 5: Solve for x
    x = 181,565,471,025/194,368.50
  6. Step 6: Final answer
    x = 934,130.12

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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.