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Finding the Third Proportional to 146,083.50 and 221,841

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Solution

The third proportional to 146,083.50 and 221,841 is: 336,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,083.50 : 221,841 = 221,841 : x
  2. Step 2: Convert to fraction form
    146,083.50/221,841 = 221,841/x
  3. Step 3: Cross multiply
    146,083.50x = 221,841 × 221,841
  4. Step 4: Simplify right side
    146,083.50x = 49,213,429,281
  5. Step 5: Solve for x
    x = 49,213,429,281/146,083.50
  6. Step 6: Final answer
    x = 336,885.61

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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.