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Finding the Third Proportional to 180,972 and 237,984

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Solution

The third proportional to 180,972 and 237,984 is: 312,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,972 : 237,984 = 237,984 : x
  2. Step 2: Convert to fraction form
    180,972/237,984 = 237,984/x
  3. Step 3: Cross multiply
    180,972x = 237,984 × 237,984
  4. Step 4: Simplify right side
    180,972x = 56,636,384,256
  5. Step 5: Solve for x
    x = 56,636,384,256/180,972
  6. Step 6: Final answer
    x = 312,956.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.