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Finding the Third Proportional to 170,502 and 374,238

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Solution

The third proportional to 170,502 and 374,238 is: 821,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,502 : 374,238 = 374,238 : x
  2. Step 2: Convert to fraction form
    170,502/374,238 = 374,238/x
  3. Step 3: Cross multiply
    170,502x = 374,238 × 374,238
  4. Step 4: Simplify right side
    170,502x = 140,054,080,644
  5. Step 5: Solve for x
    x = 140,054,080,644/170,502
  6. Step 6: Final answer
    x = 821,421.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.