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Finding the Third Proportional to 201,080 and 433,050

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Solution

The third proportional to 201,080 and 433,050 is: 932,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,080 : 433,050 = 433,050 : x
  2. Step 2: Convert to fraction form
    201,080/433,050 = 433,050/x
  3. Step 3: Cross multiply
    201,080x = 433,050 × 433,050
  4. Step 4: Simplify right side
    201,080x = 187,532,302,500
  5. Step 5: Solve for x
    x = 187,532,302,500/201,080
  6. Step 6: Final answer
    x = 932,625.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.