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Finding the Third Proportional to 168,628 and 361,294

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Solution

The third proportional to 168,628 and 361,294 is: 774,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,628 : 361,294 = 361,294 : x
  2. Step 2: Convert to fraction form
    168,628/361,294 = 361,294/x
  3. Step 3: Cross multiply
    168,628x = 361,294 × 361,294
  4. Step 4: Simplify right side
    168,628x = 130,533,354,436
  5. Step 5: Solve for x
    x = 130,533,354,436/168,628
  6. Step 6: Final answer
    x = 774,090.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.