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Finding the Third Proportional to 156,654 and 389,569.50

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Solution

The third proportional to 156,654 and 389,569.50 is: 968,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,654 : 389,569.50 = 389,569.50 : x
  2. Step 2: Convert to fraction form
    156,654/389,569.50 = 389,569.50/x
  3. Step 3: Cross multiply
    156,654x = 389,569.50 × 389,569.50
  4. Step 4: Simplify right side
    156,654x = 151,764,395,330.25
  5. Step 5: Solve for x
    x = 151,764,395,330.25/156,654
  6. Step 6: Final answer
    x = 968,787.23

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.