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Finding the Third Proportional to 142,352.44 and 300,575.81

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Solution

The third proportional to 142,352.44 and 300,575.81 is: 634,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,352.44 : 300,575.81 = 300,575.81 : x
  2. Step 2: Convert to fraction form
    142,352.44/300,575.81 = 300,575.81/x
  3. Step 3: Cross multiply
    142,352.44x = 300,575.81 × 300,575.81
  4. Step 4: Simplify right side
    142,352.44x = 90,345,819,060.04
  5. Step 5: Solve for x
    x = 90,345,819,060.04/142,352.44
  6. Step 6: Final answer
    x = 634,662.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.