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Finding the Third Proportional to 156,843 and 370,195.50

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Solution

The third proportional to 156,843 and 370,195.50 is: 873,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,843 : 370,195.50 = 370,195.50 : x
  2. Step 2: Convert to fraction form
    156,843/370,195.50 = 370,195.50/x
  3. Step 3: Cross multiply
    156,843x = 370,195.50 × 370,195.50
  4. Step 4: Simplify right side
    156,843x = 137,044,708,220.25
  5. Step 5: Solve for x
    x = 137,044,708,220.25/156,843
  6. Step 6: Final answer
    x = 873,770.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.