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Finding the Third Proportional to 172,159 and 374,804

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Solution

The third proportional to 172,159 and 374,804 is: 815,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,159 : 374,804 = 374,804 : x
  2. Step 2: Convert to fraction form
    172,159/374,804 = 374,804/x
  3. Step 3: Cross multiply
    172,159x = 374,804 × 374,804
  4. Step 4: Simplify right side
    172,159x = 140,478,038,416
  5. Step 5: Solve for x
    x = 140,478,038,416/172,159
  6. Step 6: Final answer
    x = 815,978.48

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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.