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Finding the Third Proportional to 116,345 and 251,257

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Solution

The third proportional to 116,345 and 251,257 is: 542,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,345 : 251,257 = 251,257 : x
  2. Step 2: Convert to fraction form
    116,345/251,257 = 251,257/x
  3. Step 3: Cross multiply
    116,345x = 251,257 × 251,257
  4. Step 4: Simplify right side
    116,345x = 63,130,080,049
  5. Step 5: Solve for x
    x = 63,130,080,049/116,345
  6. Step 6: Final answer
    x = 542,611.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.