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Finding the Third Proportional to 156,101 and 368,373

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Solution

The third proportional to 156,101 and 368,373 is: 869,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,101 : 368,373 = 368,373 : x
  2. Step 2: Convert to fraction form
    156,101/368,373 = 368,373/x
  3. Step 3: Cross multiply
    156,101x = 368,373 × 368,373
  4. Step 4: Simplify right side
    156,101x = 135,698,667,129
  5. Step 5: Solve for x
    x = 135,698,667,129/156,101
  6. Step 6: Final answer
    x = 869,300.43

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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.