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Finding the Third Proportional to 173,826 and 178,726.50

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Solution

The third proportional to 173,826 and 178,726.50 is: 183,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,826 : 178,726.50 = 178,726.50 : x
  2. Step 2: Convert to fraction form
    173,826/178,726.50 = 178,726.50/x
  3. Step 3: Cross multiply
    173,826x = 178,726.50 × 178,726.50
  4. Step 4: Simplify right side
    173,826x = 31,943,161,802.25
  5. Step 5: Solve for x
    x = 31,943,161,802.25/173,826
  6. Step 6: Final answer
    x = 183,765.15

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.