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Finding the Third Proportional to 176,692 and 262,638

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Solution

The third proportional to 176,692 and 262,638 is: 390,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,692 : 262,638 = 262,638 : x
  2. Step 2: Convert to fraction form
    176,692/262,638 = 262,638/x
  3. Step 3: Cross multiply
    176,692x = 262,638 × 262,638
  4. Step 4: Simplify right side
    176,692x = 68,978,719,044
  5. Step 5: Solve for x
    x = 68,978,719,044/176,692
  6. Step 6: Final answer
    x = 390,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.