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Finding the Third Proportional to 215,271 and 331,990.50

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Solution

The third proportional to 215,271 and 331,990.50 is: 511,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,271 : 331,990.50 = 331,990.50 : x
  2. Step 2: Convert to fraction form
    215,271/331,990.50 = 331,990.50/x
  3. Step 3: Cross multiply
    215,271x = 331,990.50 × 331,990.50
  4. Step 4: Simplify right side
    215,271x = 110,217,692,090.25
  5. Step 5: Solve for x
    x = 110,217,692,090.25/215,271
  6. Step 6: Final answer
    x = 511,995.08

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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.