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Finding the Third Proportional to 221,673 and 334,837.50

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Solution

The third proportional to 221,673 and 334,837.50 is: 505,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,673 : 334,837.50 = 334,837.50 : x
  2. Step 2: Convert to fraction form
    221,673/334,837.50 = 334,837.50/x
  3. Step 3: Cross multiply
    221,673x = 334,837.50 × 334,837.50
  4. Step 4: Simplify right side
    221,673x = 112,116,151,406.25
  5. Step 5: Solve for x
    x = 112,116,151,406.25/221,673
  6. Step 6: Final answer
    x = 505,772.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.