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Finding the Third Proportional to 174,714 and 374,358

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Solution

The third proportional to 174,714 and 374,358 is: 802,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,714 : 374,358 = 374,358 : x
  2. Step 2: Convert to fraction form
    174,714/374,358 = 374,358/x
  3. Step 3: Cross multiply
    174,714x = 374,358 × 374,358
  4. Step 4: Simplify right side
    174,714x = 140,143,912,164
  5. Step 5: Solve for x
    x = 140,143,912,164/174,714
  6. Step 6: Final answer
    x = 802,133.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.