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Finding the Third Proportional to 131,857.88 and 288,524.53

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Solution

The third proportional to 131,857.88 and 288,524.53 is: 631,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,857.88 : 288,524.53 = 288,524.53 : x
  2. Step 2: Convert to fraction form
    131,857.88/288,524.53 = 288,524.53/x
  3. Step 3: Cross multiply
    131,857.88x = 288,524.53 × 288,524.53
  4. Step 4: Simplify right side
    131,857.88x = 83,246,405,133.03
  5. Step 5: Solve for x
    x = 83,246,405,133.03/131,857.88
  6. Step 6: Final answer
    x = 631,334.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.