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Finding the Third Proportional to 170,931 and 374,073

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Solution

The third proportional to 170,931 and 374,073 is: 818,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,931 : 374,073 = 374,073 : x
  2. Step 2: Convert to fraction form
    170,931/374,073 = 374,073/x
  3. Step 3: Cross multiply
    170,931x = 374,073 × 374,073
  4. Step 4: Simplify right side
    170,931x = 139,930,609,329
  5. Step 5: Solve for x
    x = 139,930,609,329/170,931
  6. Step 6: Final answer
    x = 818,637.98

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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.