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Finding the Third Proportional to 156,064 and 368,178

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Solution

The third proportional to 156,064 and 368,178 is: 868,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,064 : 368,178 = 368,178 : x
  2. Step 2: Convert to fraction form
    156,064/368,178 = 368,178/x
  3. Step 3: Cross multiply
    156,064x = 368,178 × 368,178
  4. Step 4: Simplify right side
    156,064x = 135,555,039,684
  5. Step 5: Solve for x
    x = 135,555,039,684/156,064
  6. Step 6: Final answer
    x = 868,586.22

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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.