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Finding the Third Proportional to 176,911 and 264,718

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Solution

The third proportional to 176,911 and 264,718 is: 396,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,911 : 264,718 = 264,718 : x
  2. Step 2: Convert to fraction form
    176,911/264,718 = 264,718/x
  3. Step 3: Cross multiply
    176,911x = 264,718 × 264,718
  4. Step 4: Simplify right side
    176,911x = 70,075,619,524
  5. Step 5: Solve for x
    x = 70,075,619,524/176,911
  6. Step 6: Final answer
    x = 396,106.63

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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.