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Finding the Third Proportional to 158,530 and 346,464

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Solution

The third proportional to 158,530 and 346,464 is: 757,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,530 : 346,464 = 346,464 : x
  2. Step 2: Convert to fraction form
    158,530/346,464 = 346,464/x
  3. Step 3: Cross multiply
    158,530x = 346,464 × 346,464
  4. Step 4: Simplify right side
    158,530x = 120,037,303,296
  5. Step 5: Solve for x
    x = 120,037,303,296/158,530
  6. Step 6: Final answer
    x = 757,189.83

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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.