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Finding the Third Proportional to 233,381 and 362,072

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Solution

The third proportional to 233,381 and 362,072 is: 561,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,381 : 362,072 = 362,072 : x
  2. Step 2: Convert to fraction form
    233,381/362,072 = 362,072/x
  3. Step 3: Cross multiply
    233,381x = 362,072 × 362,072
  4. Step 4: Simplify right side
    233,381x = 131,096,133,184
  5. Step 5: Solve for x
    x = 131,096,133,184/233,381
  6. Step 6: Final answer
    x = 561,725.82

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