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Finding the Third Proportional to 174,953 and 375,381

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Solution

The third proportional to 174,953 and 375,381 is: 805,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,953 : 375,381 = 375,381 : x
  2. Step 2: Convert to fraction form
    174,953/375,381 = 375,381/x
  3. Step 3: Cross multiply
    174,953x = 375,381 × 375,381
  4. Step 4: Simplify right side
    174,953x = 140,910,895,161
  5. Step 5: Solve for x
    x = 140,910,895,161/174,953
  6. Step 6: Final answer
    x = 805,421.43

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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.