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Finding the Third Proportional to 201,343.50 and 433,545

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Solution

The third proportional to 201,343.50 and 433,545 is: 933,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,343.50 : 433,545 = 433,545 : x
  2. Step 2: Convert to fraction form
    201,343.50/433,545 = 433,545/x
  3. Step 3: Cross multiply
    201,343.50x = 433,545 × 433,545
  4. Step 4: Simplify right side
    201,343.50x = 187,961,267,025
  5. Step 5: Solve for x
    x = 187,961,267,025/201,343.50
  6. Step 6: Final answer
    x = 933,535.31

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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.