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Finding the Third Proportional to 201,184 and 435,036

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Solution

The third proportional to 201,184 and 435,036 is: 940,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,184 : 435,036 = 435,036 : x
  2. Step 2: Convert to fraction form
    201,184/435,036 = 435,036/x
  3. Step 3: Cross multiply
    201,184x = 435,036 × 435,036
  4. Step 4: Simplify right side
    201,184x = 189,256,321,296
  5. Step 5: Solve for x
    x = 189,256,321,296/201,184
  6. Step 6: Final answer
    x = 940,712.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.