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Finding the Third Proportional to 156,643.50 and 238,638

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Solution

The third proportional to 156,643.50 and 238,638 is: 363,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643.50 : 238,638 = 238,638 : x
  2. Step 2: Convert to fraction form
    156,643.50/238,638 = 238,638/x
  3. Step 3: Cross multiply
    156,643.50x = 238,638 × 238,638
  4. Step 4: Simplify right side
    156,643.50x = 56,948,095,044
  5. Step 5: Solve for x
    x = 56,948,095,044/156,643.50
  6. Step 6: Final answer
    x = 363,552.24

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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.