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Finding the Third Proportional to 156,948 and 201,519

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Solution

The third proportional to 156,948 and 201,519 is: 258,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 201,519 = 201,519 : x
  2. Step 2: Convert to fraction form
    156,948/201,519 = 201,519/x
  3. Step 3: Cross multiply
    156,948x = 201,519 × 201,519
  4. Step 4: Simplify right side
    156,948x = 40,609,907,361
  5. Step 5: Solve for x
    x = 40,609,907,361/156,948
  6. Step 6: Final answer
    x = 258,747.53

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.