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Finding the Third Proportional to 170,859 and 254,899.50

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Solution

The third proportional to 170,859 and 254,899.50 is: 380,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,859 : 254,899.50 = 254,899.50 : x
  2. Step 2: Convert to fraction form
    170,859/254,899.50 = 254,899.50/x
  3. Step 3: Cross multiply
    170,859x = 254,899.50 × 254,899.50
  4. Step 4: Simplify right side
    170,859x = 64,973,755,100.25
  5. Step 5: Solve for x
    x = 64,973,755,100.25/170,859
  6. Step 6: Final answer
    x = 380,277.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.