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Finding the Third Proportional to 156,687 and 369,811.50

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Solution

The third proportional to 156,687 and 369,811.50 is: 872,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,687 : 369,811.50 = 369,811.50 : x
  2. Step 2: Convert to fraction form
    156,687/369,811.50 = 369,811.50/x
  3. Step 3: Cross multiply
    156,687x = 369,811.50 × 369,811.50
  4. Step 4: Simplify right side
    156,687x = 136,760,545,532.25
  5. Step 5: Solve for x
    x = 136,760,545,532.25/156,687
  6. Step 6: Final answer
    x = 872,826.37

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