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Finding the Third Proportional to 201,991.50 and 437,412

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Solution

The third proportional to 201,991.50 and 437,412 is: 947,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991.50 : 437,412 = 437,412 : x
  2. Step 2: Convert to fraction form
    201,991.50/437,412 = 437,412/x
  3. Step 3: Cross multiply
    201,991.50x = 437,412 × 437,412
  4. Step 4: Simplify right side
    201,991.50x = 191,329,257,744
  5. Step 5: Solve for x
    x = 191,329,257,744/201,991.50
  6. Step 6: Final answer
    x = 947,214.40

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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.