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Finding the Third Proportional to 166,491 and 270,497.50

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Solution

The third proportional to 166,491 and 270,497.50 is: 439,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,491 : 270,497.50 = 270,497.50 : x
  2. Step 2: Convert to fraction form
    166,491/270,497.50 = 270,497.50/x
  3. Step 3: Cross multiply
    166,491x = 270,497.50 × 270,497.50
  4. Step 4: Simplify right side
    166,491x = 73,168,897,506.25
  5. Step 5: Solve for x
    x = 73,168,897,506.25/166,491
  6. Step 6: Final answer
    x = 439,476.59

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.