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Finding the Third Proportional to 194,715 and 295,726.50

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Solution

The third proportional to 194,715 and 295,726.50 is: 449,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,715 : 295,726.50 = 295,726.50 : x
  2. Step 2: Convert to fraction form
    194,715/295,726.50 = 295,726.50/x
  3. Step 3: Cross multiply
    194,715x = 295,726.50 × 295,726.50
  4. Step 4: Simplify right side
    194,715x = 87,454,162,802.25
  5. Step 5: Solve for x
    x = 87,454,162,802.25/194,715
  6. Step 6: Final answer
    x = 449,139.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.