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Finding the Third Proportional to 233,508 and 362,250

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Solution

The third proportional to 233,508 and 362,250 is: 561,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,508 : 362,250 = 362,250 : x
  2. Step 2: Convert to fraction form
    233,508/362,250 = 362,250/x
  3. Step 3: Cross multiply
    233,508x = 362,250 × 362,250
  4. Step 4: Simplify right side
    233,508x = 131,225,062,500
  5. Step 5: Solve for x
    x = 131,225,062,500/233,508
  6. Step 6: Final answer
    x = 561,972.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.