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Finding the Third Proportional to 131,032.88 and 280,752.75

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Solution

The third proportional to 131,032.88 and 280,752.75 is: 601,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,032.88 : 280,752.75 = 280,752.75 : x
  2. Step 2: Convert to fraction form
    131,032.88/280,752.75 = 280,752.75/x
  3. Step 3: Cross multiply
    131,032.88x = 280,752.75 × 280,752.75
  4. Step 4: Simplify right side
    131,032.88x = 78,822,106,632.56
  5. Step 5: Solve for x
    x = 78,822,106,632.56/131,032.88
  6. Step 6: Final answer
    x = 601,544.51

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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.