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Finding the Third Proportional to 176,064 and 263,421

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Solution

The third proportional to 176,064 and 263,421 is: 394,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064 : 263,421 = 263,421 : x
  2. Step 2: Convert to fraction form
    176,064/263,421 = 263,421/x
  3. Step 3: Cross multiply
    176,064x = 263,421 × 263,421
  4. Step 4: Simplify right side
    176,064x = 69,390,623,241
  5. Step 5: Solve for x
    x = 69,390,623,241/176,064
  6. Step 6: Final answer
    x = 394,121.59

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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.