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Finding the Third Proportional to 214,277 and 317,041.50

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Solution

The third proportional to 214,277 and 317,041.50 is: 469,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,277 : 317,041.50 = 317,041.50 : x
  2. Step 2: Convert to fraction form
    214,277/317,041.50 = 317,041.50/x
  3. Step 3: Cross multiply
    214,277x = 317,041.50 × 317,041.50
  4. Step 4: Simplify right side
    214,277x = 100,515,312,722.25
  5. Step 5: Solve for x
    x = 100,515,312,722.25/214,277
  6. Step 6: Final answer
    x = 469,090.54

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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.