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Finding the Third Proportional to 233,061 and 352,743

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Solution

The third proportional to 233,061 and 352,743 is: 533,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,061 : 352,743 = 352,743 : x
  2. Step 2: Convert to fraction form
    233,061/352,743 = 352,743/x
  3. Step 3: Cross multiply
    233,061x = 352,743 × 352,743
  4. Step 4: Simplify right side
    233,061x = 124,427,624,049
  5. Step 5: Solve for x
    x = 124,427,624,049/233,061
  6. Step 6: Final answer
    x = 533,884.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.