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Finding the Third Proportional to 128,179.50 and 198,985.50

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Solution

The third proportional to 128,179.50 and 198,985.50 is: 308,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,179.50 : 198,985.50 = 198,985.50 : x
  2. Step 2: Convert to fraction form
    128,179.50/198,985.50 = 198,985.50/x
  3. Step 3: Cross multiply
    128,179.50x = 198,985.50 × 198,985.50
  4. Step 4: Simplify right side
    128,179.50x = 39,595,229,210.25
  5. Step 5: Solve for x
    x = 39,595,229,210.25/128,179.50
  6. Step 6: Final answer
    x = 308,904.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.