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Finding the Third Proportional to 120,167 and 255,865.50

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Solution

The third proportional to 120,167 and 255,865.50 is: 544,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,167 : 255,865.50 = 255,865.50 : x
  2. Step 2: Convert to fraction form
    120,167/255,865.50 = 255,865.50/x
  3. Step 3: Cross multiply
    120,167x = 255,865.50 × 255,865.50
  4. Step 4: Simplify right side
    120,167x = 65,467,154,090.25
  5. Step 5: Solve for x
    x = 65,467,154,090.25/120,167
  6. Step 6: Final answer
    x = 544,801.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.