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Finding the Third Proportional to 178,319 and 264,532

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Solution

The third proportional to 178,319 and 264,532 is: 392,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,319 : 264,532 = 264,532 : x
  2. Step 2: Convert to fraction form
    178,319/264,532 = 264,532/x
  3. Step 3: Cross multiply
    178,319x = 264,532 × 264,532
  4. Step 4: Simplify right side
    178,319x = 69,977,179,024
  5. Step 5: Solve for x
    x = 69,977,179,024/178,319
  6. Step 6: Final answer
    x = 392,426.94

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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.