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Finding the Third Proportional to 176,391 and 264,983

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Solution

The third proportional to 176,391 and 264,983 is: 398,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,391 : 264,983 = 264,983 : x
  2. Step 2: Convert to fraction form
    176,391/264,983 = 264,983/x
  3. Step 3: Cross multiply
    176,391x = 264,983 × 264,983
  4. Step 4: Simplify right side
    176,391x = 70,215,990,289
  5. Step 5: Solve for x
    x = 70,215,990,289/176,391
  6. Step 6: Final answer
    x = 398,070.14

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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.