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Finding the Third Proportional to 223,044 and 317,956

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Solution

The third proportional to 223,044 and 317,956 is: 453,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,044 : 317,956 = 317,956 : x
  2. Step 2: Convert to fraction form
    223,044/317,956 = 317,956/x
  3. Step 3: Cross multiply
    223,044x = 317,956 × 317,956
  4. Step 4: Simplify right side
    223,044x = 101,096,017,936
  5. Step 5: Solve for x
    x = 101,096,017,936/223,044
  6. Step 6: Final answer
    x = 453,255.94

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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.