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Finding the Third Proportional to 210,537 and 273,150

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Solution

The third proportional to 210,537 and 273,150 is: 354,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,537 : 273,150 = 273,150 : x
  2. Step 2: Convert to fraction form
    210,537/273,150 = 273,150/x
  3. Step 3: Cross multiply
    210,537x = 273,150 × 273,150
  4. Step 4: Simplify right side
    210,537x = 74,610,922,500
  5. Step 5: Solve for x
    x = 74,610,922,500/210,537
  6. Step 6: Final answer
    x = 354,383.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.