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Finding the Third Proportional to 100,480.50 and 155,514.94

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Solution

The third proportional to 100,480.50 and 155,514.94 is: 240,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,480.50 : 155,514.94 = 155,514.94 : x
  2. Step 2: Convert to fraction form
    100,480.50/155,514.94 = 155,514.94/x
  3. Step 3: Cross multiply
    100,480.50x = 155,514.94 × 155,514.94
  4. Step 4: Simplify right side
    100,480.50x = 24,184,895,785.63
  5. Step 5: Solve for x
    x = 24,184,895,785.63/100,480.50
  6. Step 6: Final answer
    x = 240,692.43

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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.