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Finding the Third Proportional to 201,902 and 437,239

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Solution

The third proportional to 201,902 and 437,239 is: 946,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902 : 437,239 = 437,239 : x
  2. Step 2: Convert to fraction form
    201,902/437,239 = 437,239/x
  3. Step 3: Cross multiply
    201,902x = 437,239 × 437,239
  4. Step 4: Simplify right side
    201,902x = 191,177,943,121
  5. Step 5: Solve for x
    x = 191,177,943,121/201,902
  6. Step 6: Final answer
    x = 946,884.84

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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.