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Finding the Third Proportional to 173,748.38 and 380,711.63

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Solution

The third proportional to 173,748.38 and 380,711.63 is: 834,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,748.38 : 380,711.63 = 380,711.63 : x
  2. Step 2: Convert to fraction form
    173,748.38/380,711.63 = 380,711.63/x
  3. Step 3: Cross multiply
    173,748.38x = 380,711.63 × 380,711.63
  4. Step 4: Simplify right side
    173,748.38x = 144,941,341,410.14
  5. Step 5: Solve for x
    x = 144,941,341,410.14/173,748.38
  6. Step 6: Final answer
    x = 834,202.57

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