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Finding the Third Proportional to 173,484 and 401,591.25

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Solution

The third proportional to 173,484 and 401,591.25 is: 929,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,484 : 401,591.25 = 401,591.25 : x
  2. Step 2: Convert to fraction form
    173,484/401,591.25 = 401,591.25/x
  3. Step 3: Cross multiply
    173,484x = 401,591.25 × 401,591.25
  4. Step 4: Simplify right side
    173,484x = 161,275,532,076.56
  5. Step 5: Solve for x
    x = 161,275,532,076.56/173,484
  6. Step 6: Final answer
    x = 929,627.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.