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Finding the Third Proportional to 156,951 and 201,521

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Solution

The third proportional to 156,951 and 201,521 is: 258,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,951 : 201,521 = 201,521 : x
  2. Step 2: Convert to fraction form
    156,951/201,521 = 201,521/x
  3. Step 3: Cross multiply
    156,951x = 201,521 × 201,521
  4. Step 4: Simplify right side
    156,951x = 40,610,713,441
  5. Step 5: Solve for x
    x = 40,610,713,441/156,951
  6. Step 6: Final answer
    x = 258,747.72

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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.