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Finding the Third Proportional to 156,356 and 368,717

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Solution

The third proportional to 156,356 and 368,717 is: 869,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,356 : 368,717 = 368,717 : x
  2. Step 2: Convert to fraction form
    156,356/368,717 = 368,717/x
  3. Step 3: Cross multiply
    156,356x = 368,717 × 368,717
  4. Step 4: Simplify right side
    156,356x = 135,952,226,089
  5. Step 5: Solve for x
    x = 135,952,226,089/156,356
  6. Step 6: Final answer
    x = 869,504.38

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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.