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Finding the Third Proportional to 210,048 and 332,592

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Solution

The third proportional to 210,048 and 332,592 is: 526,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,048 : 332,592 = 332,592 : x
  2. Step 2: Convert to fraction form
    210,048/332,592 = 332,592/x
  3. Step 3: Cross multiply
    210,048x = 332,592 × 332,592
  4. Step 4: Simplify right side
    210,048x = 110,617,438,464
  5. Step 5: Solve for x
    x = 110,617,438,464/210,048
  6. Step 6: Final answer
    x = 526,629.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.