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Finding the Third Proportional to 141,596.25 and 299,595

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Solution

The third proportional to 141,596.25 and 299,595 is: 633,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,596.25 : 299,595 = 299,595 : x
  2. Step 2: Convert to fraction form
    141,596.25/299,595 = 299,595/x
  3. Step 3: Cross multiply
    141,596.25x = 299,595 × 299,595
  4. Step 4: Simplify right side
    141,596.25x = 89,757,164,025
  5. Step 5: Solve for x
    x = 89,757,164,025/141,596.25
  6. Step 6: Final answer
    x = 633,895.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.