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Finding the Third Proportional to 268,053 and 558,154

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Solution

The third proportional to 268,053 and 558,154 is: 1,162,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,053 : 558,154 = 558,154 : x
  2. Step 2: Convert to fraction form
    268,053/558,154 = 558,154/x
  3. Step 3: Cross multiply
    268,053x = 558,154 × 558,154
  4. Step 4: Simplify right side
    268,053x = 311,535,887,716
  5. Step 5: Solve for x
    x = 311,535,887,716/268,053
  6. Step 6: Final answer
    x = 1,162,217.50

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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.