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Finding the Third Proportional to 174,847 and 375,178

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Solution

The third proportional to 174,847 and 375,178 is: 805,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,847 : 375,178 = 375,178 : x
  2. Step 2: Convert to fraction form
    174,847/375,178 = 375,178/x
  3. Step 3: Cross multiply
    174,847x = 375,178 × 375,178
  4. Step 4: Simplify right side
    174,847x = 140,758,531,684
  5. Step 5: Solve for x
    x = 140,758,531,684/174,847
  6. Step 6: Final answer
    x = 805,038.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.