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Finding the Third Proportional to 241,335 and 317,355

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Solution

The third proportional to 241,335 and 317,355 is: 417,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,335 : 317,355 = 317,355 : x
  2. Step 2: Convert to fraction form
    241,335/317,355 = 317,355/x
  3. Step 3: Cross multiply
    241,335x = 317,355 × 317,355
  4. Step 4: Simplify right side
    241,335x = 100,714,196,025
  5. Step 5: Solve for x
    x = 100,714,196,025/241,335
  6. Step 6: Final answer
    x = 417,321.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.