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Finding the Third Proportional to 156,654 and 238,653

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Solution

The third proportional to 156,654 and 238,653 is: 363,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,654 : 238,653 = 238,653 : x
  2. Step 2: Convert to fraction form
    156,654/238,653 = 238,653/x
  3. Step 3: Cross multiply
    156,654x = 238,653 × 238,653
  4. Step 4: Simplify right side
    156,654x = 56,955,254,409
  5. Step 5: Solve for x
    x = 56,955,254,409/156,654
  6. Step 6: Final answer
    x = 363,573.57

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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.