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Finding the Third Proportional to 156,109.50 and 328,531.50

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Solution

The third proportional to 156,109.50 and 328,531.50 is: 691,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,109.50 : 328,531.50 = 328,531.50 : x
  2. Step 2: Convert to fraction form
    156,109.50/328,531.50 = 328,531.50/x
  3. Step 3: Cross multiply
    156,109.50x = 328,531.50 × 328,531.50
  4. Step 4: Simplify right side
    156,109.50x = 107,932,946,492.25
  5. Step 5: Solve for x
    x = 107,932,946,492.25/156,109.50
  6. Step 6: Final answer
    x = 691,392.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.