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Finding the Third Proportional to 362,156 and 517,134

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Solution

The third proportional to 362,156 and 517,134 is: 738,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,156 : 517,134 = 517,134 : x
  2. Step 2: Convert to fraction form
    362,156/517,134 = 517,134/x
  3. Step 3: Cross multiply
    362,156x = 517,134 × 517,134
  4. Step 4: Simplify right side
    362,156x = 267,427,573,956
  5. Step 5: Solve for x
    x = 267,427,573,956/362,156
  6. Step 6: Final answer
    x = 738,431.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.