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Finding the Third Proportional to 136,081.50 and 295,459.50

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Solution

The third proportional to 136,081.50 and 295,459.50 is: 641,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,081.50 : 295,459.50 = 295,459.50 : x
  2. Step 2: Convert to fraction form
    136,081.50/295,459.50 = 295,459.50/x
  3. Step 3: Cross multiply
    136,081.50x = 295,459.50 × 295,459.50
  4. Step 4: Simplify right side
    136,081.50x = 87,296,316,140.25
  5. Step 5: Solve for x
    x = 87,296,316,140.25/136,081.50
  6. Step 6: Final answer
    x = 641,500.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.