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Finding the Third Proportional to 166,403 and 359,050

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Solution

The third proportional to 166,403 and 359,050 is: 774,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,403 : 359,050 = 359,050 : x
  2. Step 2: Convert to fraction form
    166,403/359,050 = 359,050/x
  3. Step 3: Cross multiply
    166,403x = 359,050 × 359,050
  4. Step 4: Simplify right side
    166,403x = 128,916,902,500
  5. Step 5: Solve for x
    x = 128,916,902,500/166,403
  6. Step 6: Final answer
    x = 774,727.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.