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Finding the Third Proportional to 268,216.50 and 558,254.63

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Solution

The third proportional to 268,216.50 and 558,254.63 is: 1,161,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,216.50 : 558,254.63 = 558,254.63 : x
  2. Step 2: Convert to fraction form
    268,216.50/558,254.63 = 558,254.63/x
  3. Step 3: Cross multiply
    268,216.50x = 558,254.63 × 558,254.63
  4. Step 4: Simplify right side
    268,216.50x = 311,648,226,333.89
  5. Step 5: Solve for x
    x = 311,648,226,333.89/268,216.50
  6. Step 6: Final answer
    x = 1,161,927.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.