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Finding the Third Proportional to 219,977.25 and 332,426.25

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Solution

The third proportional to 219,977.25 and 332,426.25 is: 502,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,977.25 : 332,426.25 = 332,426.25 : x
  2. Step 2: Convert to fraction form
    219,977.25/332,426.25 = 332,426.25/x
  3. Step 3: Cross multiply
    219,977.25x = 332,426.25 × 332,426.25
  4. Step 4: Simplify right side
    219,977.25x = 110,507,211,689.06
  5. Step 5: Solve for x
    x = 110,507,211,689.06/219,977.25
  6. Step 6: Final answer
    x = 502,357.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.