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Finding the Third Proportional to 156,942 and 201,509

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Solution

The third proportional to 156,942 and 201,509 is: 258,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 201,509 = 201,509 : x
  2. Step 2: Convert to fraction form
    156,942/201,509 = 201,509/x
  3. Step 3: Cross multiply
    156,942x = 201,509 × 201,509
  4. Step 4: Simplify right side
    156,942x = 40,605,877,081
  5. Step 5: Solve for x
    x = 40,605,877,081/156,942
  6. Step 6: Final answer
    x = 258,731.74

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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.