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Finding the Third Proportional to 234,159 and 362,367

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Solution

The third proportional to 234,159 and 362,367 is: 560,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,159 : 362,367 = 362,367 : x
  2. Step 2: Convert to fraction form
    234,159/362,367 = 362,367/x
  3. Step 3: Cross multiply
    234,159x = 362,367 × 362,367
  4. Step 4: Simplify right side
    234,159x = 131,309,842,689
  5. Step 5: Solve for x
    x = 131,309,842,689/234,159
  6. Step 6: Final answer
    x = 560,772.14

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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.