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Finding the Third Proportional to 156,071 and 233,679

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Solution

The third proportional to 156,071 and 233,679 is: 349,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,071 : 233,679 = 233,679 : x
  2. Step 2: Convert to fraction form
    156,071/233,679 = 233,679/x
  3. Step 3: Cross multiply
    156,071x = 233,679 × 233,679
  4. Step 4: Simplify right side
    156,071x = 54,605,875,041
  5. Step 5: Solve for x
    x = 54,605,875,041/156,071
  6. Step 6: Final answer
    x = 349,878.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.