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Finding the Third Proportional to 176,442 and 384,609

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Solution

The third proportional to 176,442 and 384,609 is: 838,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,442 : 384,609 = 384,609 : x
  2. Step 2: Convert to fraction form
    176,442/384,609 = 384,609/x
  3. Step 3: Cross multiply
    176,442x = 384,609 × 384,609
  4. Step 4: Simplify right side
    176,442x = 147,924,082,881
  5. Step 5: Solve for x
    x = 147,924,082,881/176,442
  6. Step 6: Final answer
    x = 838,372.29

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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.