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Finding the Third Proportional to 219,439.13 and 344,322.14

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Solution

The third proportional to 219,439.13 and 344,322.14 is: 540,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,439.13 : 344,322.14 = 344,322.14 : x
  2. Step 2: Convert to fraction form
    219,439.13/344,322.14 = 344,322.14/x
  3. Step 3: Cross multiply
    219,439.13x = 344,322.14 × 344,322.14
  4. Step 4: Simplify right side
    219,439.13x = 118,557,736,524.58
  5. Step 5: Solve for x
    x = 118,557,736,524.58/219,439.13
  6. Step 6: Final answer
    x = 540,276.20

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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.