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Finding the Third Proportional to 201,850.88 and 437,144.63

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Solution

The third proportional to 201,850.88 and 437,144.63 is: 946,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,850.88 : 437,144.63 = 437,144.63 : x
  2. Step 2: Convert to fraction form
    201,850.88/437,144.63 = 437,144.63/x
  3. Step 3: Cross multiply
    201,850.88x = 437,144.63 × 437,144.63
  4. Step 4: Simplify right side
    201,850.88x = 191,095,423,166.39
  5. Step 5: Solve for x
    x = 191,095,423,166.39/201,850.88
  6. Step 6: Final answer
    x = 946,715.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.