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Finding the Third Proportional to 229,216 and 344,257

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Solution

The third proportional to 229,216 and 344,257 is: 517,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,216 : 344,257 = 344,257 : x
  2. Step 2: Convert to fraction form
    229,216/344,257 = 344,257/x
  3. Step 3: Cross multiply
    229,216x = 344,257 × 344,257
  4. Step 4: Simplify right side
    229,216x = 118,512,882,049
  5. Step 5: Solve for x
    x = 118,512,882,049/229,216
  6. Step 6: Final answer
    x = 517,035.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.