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Finding the Third Proportional to 184,570 and 363,674

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Solution

The third proportional to 184,570 and 363,674 is: 716,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,570 : 363,674 = 363,674 : x
  2. Step 2: Convert to fraction form
    184,570/363,674 = 363,674/x
  3. Step 3: Cross multiply
    184,570x = 363,674 × 363,674
  4. Step 4: Simplify right side
    184,570x = 132,258,778,276
  5. Step 5: Solve for x
    x = 132,258,778,276/184,570
  6. Step 6: Final answer
    x = 716,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.