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Finding the Third Proportional to 201,940 and 437,310

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Solution

The third proportional to 201,940 and 437,310 is: 947,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,940 : 437,310 = 437,310 : x
  2. Step 2: Convert to fraction form
    201,940/437,310 = 437,310/x
  3. Step 3: Cross multiply
    201,940x = 437,310 × 437,310
  4. Step 4: Simplify right side
    201,940x = 191,240,036,100
  5. Step 5: Solve for x
    x = 191,240,036,100/201,940
  6. Step 6: Final answer
    x = 947,014.14

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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.