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Finding the Third Proportional to 142,185.38 and 309,478.22

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Solution

The third proportional to 142,185.38 and 309,478.22 is: 673,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,185.38 : 309,478.22 = 309,478.22 : x
  2. Step 2: Convert to fraction form
    142,185.38/309,478.22 = 309,478.22/x
  3. Step 3: Cross multiply
    142,185.38x = 309,478.22 × 309,478.22
  4. Step 4: Simplify right side
    142,185.38x = 95,776,767,880.67
  5. Step 5: Solve for x
    x = 95,776,767,880.67/142,185.38
  6. Step 6: Final answer
    x = 673,604.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.