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Finding the Third Proportional to 135,025.50 and 295,468.50

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Solution

The third proportional to 135,025.50 and 295,468.50 is: 646,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,025.50 : 295,468.50 = 295,468.50 : x
  2. Step 2: Convert to fraction form
    135,025.50/295,468.50 = 295,468.50/x
  3. Step 3: Cross multiply
    135,025.50x = 295,468.50 × 295,468.50
  4. Step 4: Simplify right side
    135,025.50x = 87,301,634,492.25
  5. Step 5: Solve for x
    x = 87,301,634,492.25/135,025.50
  6. Step 6: Final answer
    x = 646,556.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.