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Finding the Third Proportional to 166,864.50 and 345,556.69

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Solution

The third proportional to 166,864.50 and 345,556.69 is: 715,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,864.50 : 345,556.69 = 345,556.69 : x
  2. Step 2: Convert to fraction form
    166,864.50/345,556.69 = 345,556.69/x
  3. Step 3: Cross multiply
    166,864.50x = 345,556.69 × 345,556.69
  4. Step 4: Simplify right side
    166,864.50x = 119,409,424,275.97
  5. Step 5: Solve for x
    x = 119,409,424,275.97/166,864.50
  6. Step 6: Final answer
    x = 715,607.12

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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.