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Finding the Third Proportional to 193,950 and 298,012.50

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Solution

The third proportional to 193,950 and 298,012.50 is: 457,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,950 : 298,012.50 = 298,012.50 : x
  2. Step 2: Convert to fraction form
    193,950/298,012.50 = 298,012.50/x
  3. Step 3: Cross multiply
    193,950x = 298,012.50 × 298,012.50
  4. Step 4: Simplify right side
    193,950x = 88,811,450,156.25
  5. Step 5: Solve for x
    x = 88,811,450,156.25/193,950
  6. Step 6: Final answer
    x = 457,909.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.