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Finding the Third Proportional to 84,305.25 and 180,569.25

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Solution

The third proportional to 84,305.25 and 180,569.25 is: 386,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305.25 : 180,569.25 = 180,569.25 : x
  2. Step 2: Convert to fraction form
    84,305.25/180,569.25 = 180,569.25/x
  3. Step 3: Cross multiply
    84,305.25x = 180,569.25 × 180,569.25
  4. Step 4: Simplify right side
    84,305.25x = 32,605,254,045.56
  5. Step 5: Solve for x
    x = 32,605,254,045.56/84,305.25
  6. Step 6: Final answer
    x = 386,752.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.