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Finding the Third Proportional to 241,280 and 317,280

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Solution

The third proportional to 241,280 and 317,280 is: 417,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,280 : 317,280 = 317,280 : x
  2. Step 2: Convert to fraction form
    241,280/317,280 = 317,280/x
  3. Step 3: Cross multiply
    241,280x = 317,280 × 317,280
  4. Step 4: Simplify right side
    241,280x = 100,666,598,400
  5. Step 5: Solve for x
    x = 100,666,598,400/241,280
  6. Step 6: Final answer
    x = 417,218.99

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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.