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Finding the Third Proportional to 168,071 and 361,627

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Solution

The third proportional to 168,071 and 361,627 is: 778,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,071 : 361,627 = 361,627 : x
  2. Step 2: Convert to fraction form
    168,071/361,627 = 361,627/x
  3. Step 3: Cross multiply
    168,071x = 361,627 × 361,627
  4. Step 4: Simplify right side
    168,071x = 130,774,087,129
  5. Step 5: Solve for x
    x = 130,774,087,129/168,071
  6. Step 6: Final answer
    x = 778,088.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.