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Finding the Third Proportional to 239,676 and 375,960

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Solution

The third proportional to 239,676 and 375,960 is: 589,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,676 : 375,960 = 375,960 : x
  2. Step 2: Convert to fraction form
    239,676/375,960 = 375,960/x
  3. Step 3: Cross multiply
    239,676x = 375,960 × 375,960
  4. Step 4: Simplify right side
    239,676x = 141,345,921,600
  5. Step 5: Solve for x
    x = 141,345,921,600/239,676
  6. Step 6: Final answer
    x = 589,737.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.