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Finding the Third Proportional to 210.37 and 332.64

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Solution

The third proportional to 210.37 and 332.64 is: 525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.37 : 332.64 = 332.64 : x
  2. Step 2: Convert to fraction form
    210.37/332.64 = 332.64/x
  3. Step 3: Cross multiply
    210.37x = 332.64 × 332.64
  4. Step 4: Simplify right side
    210.37x = 110,650.60
  5. Step 5: Solve for x
    x = 110,650.60/210.37
  6. Step 6: Final answer
    x = 525.98

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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.