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Finding the Third Proportional to 166,262 and 344,348.50

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Solution

The third proportional to 166,262 and 344,348.50 is: 713,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,262 : 344,348.50 = 344,348.50 : x
  2. Step 2: Convert to fraction form
    166,262/344,348.50 = 344,348.50/x
  3. Step 3: Cross multiply
    166,262x = 344,348.50 × 344,348.50
  4. Step 4: Simplify right side
    166,262x = 118,575,889,452.25
  5. Step 5: Solve for x
    x = 118,575,889,452.25/166,262
  6. Step 6: Final answer
    x = 713,186.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.