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Finding the Third Proportional to 156,696 and 238,714.50

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Solution

The third proportional to 156,696 and 238,714.50 is: 363,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,696 : 238,714.50 = 238,714.50 : x
  2. Step 2: Convert to fraction form
    156,696/238,714.50 = 238,714.50/x
  3. Step 3: Cross multiply
    156,696x = 238,714.50 × 238,714.50
  4. Step 4: Simplify right side
    156,696x = 56,984,612,510.25
  5. Step 5: Solve for x
    x = 56,984,612,510.25/156,696
  6. Step 6: Final answer
    x = 363,663.48

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