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Finding the Third Proportional to 176,424 and 382,494

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Solution

The third proportional to 176,424 and 382,494 is: 829,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,424 : 382,494 = 382,494 : x
  2. Step 2: Convert to fraction form
    176,424/382,494 = 382,494/x
  3. Step 3: Cross multiply
    176,424x = 382,494 × 382,494
  4. Step 4: Simplify right side
    176,424x = 146,301,660,036
  5. Step 5: Solve for x
    x = 146,301,660,036/176,424
  6. Step 6: Final answer
    x = 829,261.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.