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Finding the Third Proportional to 156,128 and 368,440

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Solution

The third proportional to 156,128 and 368,440 is: 869,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,128 : 368,440 = 368,440 : x
  2. Step 2: Convert to fraction form
    156,128/368,440 = 368,440/x
  3. Step 3: Cross multiply
    156,128x = 368,440 × 368,440
  4. Step 4: Simplify right side
    156,128x = 135,748,033,600
  5. Step 5: Solve for x
    x = 135,748,033,600/156,128
  6. Step 6: Final answer
    x = 869,466.29

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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.