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Finding the Third Proportional to 177,466 and 384,440

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Solution

The third proportional to 177,466 and 384,440 is: 832,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466 : 384,440 = 384,440 : x
  2. Step 2: Convert to fraction form
    177,466/384,440 = 384,440/x
  3. Step 3: Cross multiply
    177,466x = 384,440 × 384,440
  4. Step 4: Simplify right side
    177,466x = 147,794,113,600
  5. Step 5: Solve for x
    x = 147,794,113,600/177,466
  6. Step 6: Final answer
    x = 832,802.42

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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.