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Finding the Third Proportional to 233,982 and 353,085

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Solution

The third proportional to 233,982 and 353,085 is: 532,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,982 : 353,085 = 353,085 : x
  2. Step 2: Convert to fraction form
    233,982/353,085 = 353,085/x
  3. Step 3: Cross multiply
    233,982x = 353,085 × 353,085
  4. Step 4: Simplify right side
    233,982x = 124,669,017,225
  5. Step 5: Solve for x
    x = 124,669,017,225/233,982
  6. Step 6: Final answer
    x = 532,814.56

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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.