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Finding the Third Proportional to 201,160.50 and 431,529

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Solution

The third proportional to 201,160.50 and 431,529 is: 925,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,160.50 : 431,529 = 431,529 : x
  2. Step 2: Convert to fraction form
    201,160.50/431,529 = 431,529/x
  3. Step 3: Cross multiply
    201,160.50x = 431,529 × 431,529
  4. Step 4: Simplify right side
    201,160.50x = 186,217,277,841
  5. Step 5: Solve for x
    x = 186,217,277,841/201,160.50
  6. Step 6: Final answer
    x = 925,714.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.