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Finding the Third Proportional to 156,766 and 238,431

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Solution

The third proportional to 156,766 and 238,431 is: 362,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,766 : 238,431 = 238,431 : x
  2. Step 2: Convert to fraction form
    156,766/238,431 = 238,431/x
  3. Step 3: Cross multiply
    156,766x = 238,431 × 238,431
  4. Step 4: Simplify right side
    156,766x = 56,849,341,761
  5. Step 5: Solve for x
    x = 56,849,341,761/156,766
  6. Step 6: Final answer
    x = 362,638.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.