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Finding the Third Proportional to 156,983 and 201,573

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Solution

The third proportional to 156,983 and 201,573 is: 258,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,983 : 201,573 = 201,573 : x
  2. Step 2: Convert to fraction form
    156,983/201,573 = 201,573/x
  3. Step 3: Cross multiply
    156,983x = 201,573 × 201,573
  4. Step 4: Simplify right side
    156,983x = 40,631,674,329
  5. Step 5: Solve for x
    x = 40,631,674,329/156,983
  6. Step 6: Final answer
    x = 258,828.50

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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.