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Finding the Third Proportional to 156,775 and 238,445

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Solution

The third proportional to 156,775 and 238,445 is: 362,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,775 : 238,445 = 238,445 : x
  2. Step 2: Convert to fraction form
    156,775/238,445 = 238,445/x
  3. Step 3: Cross multiply
    156,775x = 238,445 × 238,445
  4. Step 4: Simplify right side
    156,775x = 56,856,018,025
  5. Step 5: Solve for x
    x = 56,856,018,025/156,775
  6. Step 6: Final answer
    x = 362,659.98

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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.