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Finding the Third Proportional to 148,223 and 229,274

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Solution

The third proportional to 148,223 and 229,274 is: 354,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223 : 229,274 = 229,274 : x
  2. Step 2: Convert to fraction form
    148,223/229,274 = 229,274/x
  3. Step 3: Cross multiply
    148,223x = 229,274 × 229,274
  4. Step 4: Simplify right side
    148,223x = 52,566,567,076
  5. Step 5: Solve for x
    x = 52,566,567,076/148,223
  6. Step 6: Final answer
    x = 354,645.14

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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.