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Finding the Third Proportional to 137,984 and 210,936

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Solution

The third proportional to 137,984 and 210,936 is: 322,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984 : 210,936 = 210,936 : x
  2. Step 2: Convert to fraction form
    137,984/210,936 = 210,936/x
  3. Step 3: Cross multiply
    137,984x = 210,936 × 210,936
  4. Step 4: Simplify right side
    137,984x = 44,493,996,096
  5. Step 5: Solve for x
    x = 44,493,996,096/137,984
  6. Step 6: Final answer
    x = 322,457.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.