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Finding the Third Proportional to 173,307 and 266,223

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Solution

The third proportional to 173,307 and 266,223 is: 408,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,307 : 266,223 = 266,223 : x
  2. Step 2: Convert to fraction form
    173,307/266,223 = 266,223/x
  3. Step 3: Cross multiply
    173,307x = 266,223 × 266,223
  4. Step 4: Simplify right side
    173,307x = 70,874,685,729
  5. Step 5: Solve for x
    x = 70,874,685,729/173,307
  6. Step 6: Final answer
    x = 408,954.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.