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Finding the Third Proportional to 167,009.50 and 350,430.50

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Solution

The third proportional to 167,009.50 and 350,430.50 is: 735,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,009.50 : 350,430.50 = 350,430.50 : x
  2. Step 2: Convert to fraction form
    167,009.50/350,430.50 = 350,430.50/x
  3. Step 3: Cross multiply
    167,009.50x = 350,430.50 × 350,430.50
  4. Step 4: Simplify right side
    167,009.50x = 122,801,535,330.25
  5. Step 5: Solve for x
    x = 122,801,535,330.25/167,009.50
  6. Step 6: Final answer
    x = 735,296.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.