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Finding the Third Proportional to 156,365 and 368,754

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Solution

The third proportional to 156,365 and 368,754 is: 869,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,365 : 368,754 = 368,754 : x
  2. Step 2: Convert to fraction form
    156,365/368,754 = 368,754/x
  3. Step 3: Cross multiply
    156,365x = 368,754 × 368,754
  4. Step 4: Simplify right side
    156,365x = 135,979,512,516
  5. Step 5: Solve for x
    x = 135,979,512,516/156,365
  6. Step 6: Final answer
    x = 869,628.83

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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.