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Finding the Third Proportional to 220,319.16 and 297,262.41

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Solution

The third proportional to 220,319.16 and 297,262.41 is: 401,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,319.16 : 297,262.41 = 297,262.41 : x
  2. Step 2: Convert to fraction form
    220,319.16/297,262.41 = 297,262.41/x
  3. Step 3: Cross multiply
    220,319.16x = 297,262.41 × 297,262.41
  4. Step 4: Simplify right side
    220,319.16x = 88,364,938,169.54
  5. Step 5: Solve for x
    x = 88,364,938,169.54/220,319.16
  6. Step 6: Final answer
    x = 401,076.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.