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Finding the Third Proportional to 184,562 and 363,658

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Solution

The third proportional to 184,562 and 363,658 is: 716,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,562 : 363,658 = 363,658 : x
  2. Step 2: Convert to fraction form
    184,562/363,658 = 363,658/x
  3. Step 3: Cross multiply
    184,562x = 363,658 × 363,658
  4. Step 4: Simplify right side
    184,562x = 132,247,140,964
  5. Step 5: Solve for x
    x = 132,247,140,964/184,562
  6. Step 6: Final answer
    x = 716,545.88

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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.