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Finding the Third Proportional to 223,240 and 318,254

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Solution

The third proportional to 223,240 and 318,254 is: 453,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,240 : 318,254 = 318,254 : x
  2. Step 2: Convert to fraction form
    223,240/318,254 = 318,254/x
  3. Step 3: Cross multiply
    223,240x = 318,254 × 318,254
  4. Step 4: Simplify right side
    223,240x = 101,285,608,516
  5. Step 5: Solve for x
    x = 101,285,608,516/223,240
  6. Step 6: Final answer
    x = 453,707.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.