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Finding the Third Proportional to 268,219.50 and 558,259.50

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Solution

The third proportional to 268,219.50 and 558,259.50 is: 1,161,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,219.50 : 558,259.50 = 558,259.50 : x
  2. Step 2: Convert to fraction form
    268,219.50/558,259.50 = 558,259.50/x
  3. Step 3: Cross multiply
    268,219.50x = 558,259.50 × 558,259.50
  4. Step 4: Simplify right side
    268,219.50x = 311,653,669,340.25
  5. Step 5: Solve for x
    x = 311,653,669,340.25/268,219.50
  6. Step 6: Final answer
    x = 1,161,935.17

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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.