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Finding the Third Proportional to 156,356 and 368,732

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Solution

The third proportional to 156,356 and 368,732 is: 869,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,356 : 368,732 = 368,732 : x
  2. Step 2: Convert to fraction form
    156,356/368,732 = 368,732/x
  3. Step 3: Cross multiply
    156,356x = 368,732 × 368,732
  4. Step 4: Simplify right side
    156,356x = 135,963,287,824
  5. Step 5: Solve for x
    x = 135,963,287,824/156,356
  6. Step 6: Final answer
    x = 869,575.12

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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.