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Finding the Third Proportional to 226,261.13 and 334,111.50

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Solution

The third proportional to 226,261.13 and 334,111.50 is: 493,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,261.13 : 334,111.50 = 334,111.50 : x
  2. Step 2: Convert to fraction form
    226,261.13/334,111.50 = 334,111.50/x
  3. Step 3: Cross multiply
    226,261.13x = 334,111.50 × 334,111.50
  4. Step 4: Simplify right side
    226,261.13x = 111,630,494,432.25
  5. Step 5: Solve for x
    x = 111,630,494,432.25/226,261.13
  6. Step 6: Final answer
    x = 493,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.