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Finding the Third Proportional to 177,470 and 384,446

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Solution

The third proportional to 177,470 and 384,446 is: 832,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,470 : 384,446 = 384,446 : x
  2. Step 2: Convert to fraction form
    177,470/384,446 = 384,446/x
  3. Step 3: Cross multiply
    177,470x = 384,446 × 384,446
  4. Step 4: Simplify right side
    177,470x = 147,798,726,916
  5. Step 5: Solve for x
    x = 147,798,726,916/177,470
  6. Step 6: Final answer
    x = 832,809.64

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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.