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Finding the Third Proportional to 201,179 and 436,959

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Solution

The third proportional to 201,179 and 436,959 is: 949,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,179 : 436,959 = 436,959 : x
  2. Step 2: Convert to fraction form
    201,179/436,959 = 436,959/x
  3. Step 3: Cross multiply
    201,179x = 436,959 × 436,959
  4. Step 4: Simplify right side
    201,179x = 190,933,167,681
  5. Step 5: Solve for x
    x = 190,933,167,681/201,179
  6. Step 6: Final answer
    x = 949,071.06

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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.