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Finding the Third Proportional to 176,460 and 384,024

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Solution

The third proportional to 176,460 and 384,024 is: 835,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,460 : 384,024 = 384,024 : x
  2. Step 2: Convert to fraction form
    176,460/384,024 = 384,024/x
  3. Step 3: Cross multiply
    176,460x = 384,024 × 384,024
  4. Step 4: Simplify right side
    176,460x = 147,474,432,576
  5. Step 5: Solve for x
    x = 147,474,432,576/176,460
  6. Step 6: Final answer
    x = 835,738.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.