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Finding the Third Proportional to 175,954 and 391,164

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Solution

The third proportional to 175,954 and 391,164 is: 869,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,954 : 391,164 = 391,164 : x
  2. Step 2: Convert to fraction form
    175,954/391,164 = 391,164/x
  3. Step 3: Cross multiply
    175,954x = 391,164 × 391,164
  4. Step 4: Simplify right side
    175,954x = 153,009,274,896
  5. Step 5: Solve for x
    x = 153,009,274,896/175,954
  6. Step 6: Final answer
    x = 869,598.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.