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Finding the Third Proportional to 148,212 and 229,257

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Solution

The third proportional to 148,212 and 229,257 is: 354,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,212 : 229,257 = 229,257 : x
  2. Step 2: Convert to fraction form
    148,212/229,257 = 229,257/x
  3. Step 3: Cross multiply
    148,212x = 229,257 × 229,257
  4. Step 4: Simplify right side
    148,212x = 52,558,772,049
  5. Step 5: Solve for x
    x = 52,558,772,049/148,212
  6. Step 6: Final answer
    x = 354,618.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.