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Finding the Third Proportional to 174,025 and 368,642

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Solution

The third proportional to 174,025 and 368,642 is: 780,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,025 : 368,642 = 368,642 : x
  2. Step 2: Convert to fraction form
    174,025/368,642 = 368,642/x
  3. Step 3: Cross multiply
    174,025x = 368,642 × 368,642
  4. Step 4: Simplify right side
    174,025x = 135,896,924,164
  5. Step 5: Solve for x
    x = 135,896,924,164/174,025
  6. Step 6: Final answer
    x = 780,904.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.