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Finding the Third Proportional to 178,314 and 264,522

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Solution

The third proportional to 178,314 and 264,522 is: 392,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,314 : 264,522 = 264,522 : x
  2. Step 2: Convert to fraction form
    178,314/264,522 = 264,522/x
  3. Step 3: Cross multiply
    178,314x = 264,522 × 264,522
  4. Step 4: Simplify right side
    178,314x = 69,971,888,484
  5. Step 5: Solve for x
    x = 69,971,888,484/178,314
  6. Step 6: Final answer
    x = 392,408.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.