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Finding the Third Proportional to 156,947 and 201,522

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Solution

The third proportional to 156,947 and 201,522 is: 258,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 201,522 = 201,522 : x
  2. Step 2: Convert to fraction form
    156,947/201,522 = 201,522/x
  3. Step 3: Cross multiply
    156,947x = 201,522 × 201,522
  4. Step 4: Simplify right side
    156,947x = 40,611,116,484
  5. Step 5: Solve for x
    x = 40,611,116,484/156,947
  6. Step 6: Final answer
    x = 258,756.88

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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.