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Finding the Third Proportional to 145,849.50 and 320,211

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Solution

The third proportional to 145,849.50 and 320,211 is: 703,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,849.50 : 320,211 = 320,211 : x
  2. Step 2: Convert to fraction form
    145,849.50/320,211 = 320,211/x
  3. Step 3: Cross multiply
    145,849.50x = 320,211 × 320,211
  4. Step 4: Simplify right side
    145,849.50x = 102,535,084,521
  5. Step 5: Solve for x
    x = 102,535,084,521/145,849.50
  6. Step 6: Final answer
    x = 703,019.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.