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Finding the Third Proportional to 176,401 and 266,222

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Solution

The third proportional to 176,401 and 266,222 is: 401,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,401 : 266,222 = 266,222 : x
  2. Step 2: Convert to fraction form
    176,401/266,222 = 266,222/x
  3. Step 3: Cross multiply
    176,401x = 266,222 × 266,222
  4. Step 4: Simplify right side
    176,401x = 70,874,153,284
  5. Step 5: Solve for x
    x = 70,874,153,284/176,401
  6. Step 6: Final answer
    x = 401,778.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.