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Finding the Third Proportional to 139,453.50 and 287,158.50

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Solution

The third proportional to 139,453.50 and 287,158.50 is: 591,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,453.50 : 287,158.50 = 287,158.50 : x
  2. Step 2: Convert to fraction form
    139,453.50/287,158.50 = 287,158.50/x
  3. Step 3: Cross multiply
    139,453.50x = 287,158.50 × 287,158.50
  4. Step 4: Simplify right side
    139,453.50x = 82,460,004,122.25
  5. Step 5: Solve for x
    x = 82,460,004,122.25/139,453.50
  6. Step 6: Final answer
    x = 591,308.24

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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.