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Finding the Third Proportional to 156,156 and 368,262

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Solution

The third proportional to 156,156 and 368,262 is: 868,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,156 : 368,262 = 368,262 : x
  2. Step 2: Convert to fraction form
    156,156/368,262 = 368,262/x
  3. Step 3: Cross multiply
    156,156x = 368,262 × 368,262
  4. Step 4: Simplify right side
    156,156x = 135,616,900,644
  5. Step 5: Solve for x
    x = 135,616,900,644/156,156
  6. Step 6: Final answer
    x = 868,470.64

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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.