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Finding the Third Proportional to 159,950 and 350,033

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Solution

The third proportional to 159,950 and 350,033 is: 766,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,950 : 350,033 = 350,033 : x
  2. Step 2: Convert to fraction form
    159,950/350,033 = 350,033/x
  3. Step 3: Cross multiply
    159,950x = 350,033 × 350,033
  4. Step 4: Simplify right side
    159,950x = 122,523,101,089
  5. Step 5: Solve for x
    x = 122,523,101,089/159,950
  6. Step 6: Final answer
    x = 766,008.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.