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Finding the Third Proportional to 141,106.50 and 301,632.75

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Solution

The third proportional to 141,106.50 and 301,632.75 is: 644,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,106.50 : 301,632.75 = 301,632.75 : x
  2. Step 2: Convert to fraction form
    141,106.50/301,632.75 = 301,632.75/x
  3. Step 3: Cross multiply
    141,106.50x = 301,632.75 × 301,632.75
  4. Step 4: Simplify right side
    141,106.50x = 90,982,315,872.56
  5. Step 5: Solve for x
    x = 90,982,315,872.56/141,106.50
  6. Step 6: Final answer
    x = 644,777.64

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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.