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Finding the Third Proportional to 170,953 and 184,804

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Solution

The third proportional to 170,953 and 184,804 is: 199,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,953 : 184,804 = 184,804 : x
  2. Step 2: Convert to fraction form
    170,953/184,804 = 184,804/x
  3. Step 3: Cross multiply
    170,953x = 184,804 × 184,804
  4. Step 4: Simplify right side
    170,953x = 34,152,518,416
  5. Step 5: Solve for x
    x = 34,152,518,416/170,953
  6. Step 6: Final answer
    x = 199,777.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.