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Finding the Third Proportional to 139,857.50 and 221,808.50

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Solution

The third proportional to 139,857.50 and 221,808.50 is: 351,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,857.50 : 221,808.50 = 221,808.50 : x
  2. Step 2: Convert to fraction form
    139,857.50/221,808.50 = 221,808.50/x
  3. Step 3: Cross multiply
    139,857.50x = 221,808.50 × 221,808.50
  4. Step 4: Simplify right side
    139,857.50x = 49,199,010,672.25
  5. Step 5: Solve for x
    x = 49,199,010,672.25/139,857.50
  6. Step 6: Final answer
    x = 351,779.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.