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Finding the Third Proportional to 239,173.50 and 503,133

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Solution

The third proportional to 239,173.50 and 503,133 is: 1,058,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,173.50 : 503,133 = 503,133 : x
  2. Step 2: Convert to fraction form
    239,173.50/503,133 = 503,133/x
  3. Step 3: Cross multiply
    239,173.50x = 503,133 × 503,133
  4. Step 4: Simplify right side
    239,173.50x = 253,142,815,689
  5. Step 5: Solve for x
    x = 253,142,815,689/239,173.50
  6. Step 6: Final answer
    x = 1,058,406.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.