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Finding the Third Proportional to 241,323 and 317,344

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Solution

The third proportional to 241,323 and 317,344 is: 417,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,323 : 317,344 = 317,344 : x
  2. Step 2: Convert to fraction form
    241,323/317,344 = 317,344/x
  3. Step 3: Cross multiply
    241,323x = 317,344 × 317,344
  4. Step 4: Simplify right side
    241,323x = 100,707,214,336
  5. Step 5: Solve for x
    x = 100,707,214,336/241,323
  6. Step 6: Final answer
    x = 417,312.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.