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Finding the Third Proportional to 131,425.88 and 205,898.63

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Solution

The third proportional to 131,425.88 and 205,898.63 is: 322,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,425.88 : 205,898.63 = 205,898.63 : x
  2. Step 2: Convert to fraction form
    131,425.88/205,898.63 = 205,898.63/x
  3. Step 3: Cross multiply
    131,425.88x = 205,898.63 × 205,898.63
  4. Step 4: Simplify right side
    131,425.88x = 42,394,243,776.89
  5. Step 5: Solve for x
    x = 42,394,243,776.89/131,425.88
  6. Step 6: Final answer
    x = 322,571.52

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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.