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Finding the Third Proportional to 133,863 and 207,388.50

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Solution

The third proportional to 133,863 and 207,388.50 is: 321,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,863 : 207,388.50 = 207,388.50 : x
  2. Step 2: Convert to fraction form
    133,863/207,388.50 = 207,388.50/x
  3. Step 3: Cross multiply
    133,863x = 207,388.50 × 207,388.50
  4. Step 4: Simplify right side
    133,863x = 43,009,989,932.25
  5. Step 5: Solve for x
    x = 43,009,989,932.25/133,863
  6. Step 6: Final answer
    x = 321,298.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.