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Finding the Third Proportional to 135,627 and 200,674.50

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Solution

The third proportional to 135,627 and 200,674.50 is: 296,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,627 : 200,674.50 = 200,674.50 : x
  2. Step 2: Convert to fraction form
    135,627/200,674.50 = 200,674.50/x
  3. Step 3: Cross multiply
    135,627x = 200,674.50 × 200,674.50
  4. Step 4: Simplify right side
    135,627x = 40,270,254,950.25
  5. Step 5: Solve for x
    x = 40,270,254,950.25/135,627
  6. Step 6: Final answer
    x = 296,919.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.