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Finding the Third Proportional to 173,530.69 and 380,298.38

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Solution

The third proportional to 173,530.69 and 380,298.38 is: 833,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,530.69 : 380,298.38 = 380,298.38 : x
  2. Step 2: Convert to fraction form
    173,530.69/380,298.38 = 380,298.38/x
  3. Step 3: Cross multiply
    173,530.69x = 380,298.38 × 380,298.38
  4. Step 4: Simplify right side
    173,530.69x = 144,626,854,027.64
  5. Step 5: Solve for x
    x = 144,626,854,027.64/173,530.69
  6. Step 6: Final answer
    x = 833,436.76

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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.