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Finding the Third Proportional to 139,452 and 287,157

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Solution

The third proportional to 139,452 and 287,157 is: 591,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,452 : 287,157 = 287,157 : x
  2. Step 2: Convert to fraction form
    139,452/287,157 = 287,157/x
  3. Step 3: Cross multiply
    139,452x = 287,157 × 287,157
  4. Step 4: Simplify right side
    139,452x = 82,459,142,649
  5. Step 5: Solve for x
    x = 82,459,142,649/139,452
  6. Step 6: Final answer
    x = 591,308.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.