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Finding the Third Proportional to 219,445.88 and 344,331.84

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Solution

The third proportional to 219,445.88 and 344,331.84 is: 540,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,445.88 : 344,331.84 = 344,331.84 : x
  2. Step 2: Convert to fraction form
    219,445.88/344,331.84 = 344,331.84/x
  3. Step 3: Cross multiply
    219,445.88x = 344,331.84 × 344,331.84
  4. Step 4: Simplify right side
    219,445.88x = 118,564,418,620.27
  5. Step 5: Solve for x
    x = 118,564,418,620.27/219,445.88
  6. Step 6: Final answer
    x = 540,290.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.