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Finding the Third Proportional to 174,369 and 356,118

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Solution

The third proportional to 174,369 and 356,118 is: 727,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,369 : 356,118 = 356,118 : x
  2. Step 2: Convert to fraction form
    174,369/356,118 = 356,118/x
  3. Step 3: Cross multiply
    174,369x = 356,118 × 356,118
  4. Step 4: Simplify right side
    174,369x = 126,820,029,924
  5. Step 5: Solve for x
    x = 126,820,029,924/174,369
  6. Step 6: Final answer
    x = 727,308.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.