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Finding the Third Proportional to 167,011 and 350,433.50

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Solution

The third proportional to 167,011 and 350,433.50 is: 735,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,011 : 350,433.50 = 350,433.50 : x
  2. Step 2: Convert to fraction form
    167,011/350,433.50 = 350,433.50/x
  3. Step 3: Cross multiply
    167,011x = 350,433.50 × 350,433.50
  4. Step 4: Simplify right side
    167,011x = 122,803,637,922.25
  5. Step 5: Solve for x
    x = 122,803,637,922.25/167,011
  6. Step 6: Final answer
    x = 735,302.69

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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.