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Finding the Third Proportional to 162,914 and 238,543

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Solution

The third proportional to 162,914 and 238,543 is: 349,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,914 : 238,543 = 238,543 : x
  2. Step 2: Convert to fraction form
    162,914/238,543 = 238,543/x
  3. Step 3: Cross multiply
    162,914x = 238,543 × 238,543
  4. Step 4: Simplify right side
    162,914x = 56,902,762,849
  5. Step 5: Solve for x
    x = 56,902,762,849/162,914
  6. Step 6: Final answer
    x = 349,280.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.