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Finding the Third Proportional to 155,451 and 197,194.50

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Solution

The third proportional to 155,451 and 197,194.50 is: 250,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,451 : 197,194.50 = 197,194.50 : x
  2. Step 2: Convert to fraction form
    155,451/197,194.50 = 197,194.50/x
  3. Step 3: Cross multiply
    155,451x = 197,194.50 × 197,194.50
  4. Step 4: Simplify right side
    155,451x = 38,885,670,830.25
  5. Step 5: Solve for x
    x = 38,885,670,830.25/155,451
  6. Step 6: Final answer
    x = 250,147.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.