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Finding the Third Proportional to 262.50 and 420.25

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Solution

The third proportional to 262.50 and 420.25 is: 672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 420.25 = 420.25 : x
  2. Step 2: Convert to fraction form
    262.50/420.25 = 420.25/x
  3. Step 3: Cross multiply
    262.50x = 420.25 × 420.25
  4. Step 4: Simplify right side
    262.50x = 176,610.06
  5. Step 5: Solve for x
    x = 176,610.06/262.50
  6. Step 6: Final answer
    x = 672.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.