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Finding the Third Proportional to 166,873.50 and 345,574

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Solution

The third proportional to 166,873.50 and 345,574 is: 715,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,873.50 : 345,574 = 345,574 : x
  2. Step 2: Convert to fraction form
    166,873.50/345,574 = 345,574/x
  3. Step 3: Cross multiply
    166,873.50x = 345,574 × 345,574
  4. Step 4: Simplify right side
    166,873.50x = 119,421,389,476
  5. Step 5: Solve for x
    x = 119,421,389,476/166,873.50
  6. Step 6: Final answer
    x = 715,640.23

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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.