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Finding the Third Proportional to 197,682.50 and 466,430

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Solution

The third proportional to 197,682.50 and 466,430 is: 1,100,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,682.50 : 466,430 = 466,430 : x
  2. Step 2: Convert to fraction form
    197,682.50/466,430 = 466,430/x
  3. Step 3: Cross multiply
    197,682.50x = 466,430 × 466,430
  4. Step 4: Simplify right side
    197,682.50x = 217,556,944,900
  5. Step 5: Solve for x
    x = 217,556,944,900/197,682.50
  6. Step 6: Final answer
    x = 1,100,537.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.