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Finding the Third Proportional to 213,504 and 332,352

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Solution

The third proportional to 213,504 and 332,352 is: 517,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,504 : 332,352 = 332,352 : x
  2. Step 2: Convert to fraction form
    213,504/332,352 = 332,352/x
  3. Step 3: Cross multiply
    213,504x = 332,352 × 332,352
  4. Step 4: Simplify right side
    213,504x = 110,457,851,904
  5. Step 5: Solve for x
    x = 110,457,851,904/213,504
  6. Step 6: Final answer
    x = 517,357.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.