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Finding the Third Proportional to 133,312.92 and 285,309.42

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Solution

The third proportional to 133,312.92 and 285,309.42 is: 610,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,312.92 : 285,309.42 = 285,309.42 : x
  2. Step 2: Convert to fraction form
    133,312.92/285,309.42 = 285,309.42/x
  3. Step 3: Cross multiply
    133,312.92x = 285,309.42 × 285,309.42
  4. Step 4: Simplify right side
    133,312.92x = 81,401,466,210.65
  5. Step 5: Solve for x
    x = 81,401,466,210.65/133,312.92
  6. Step 6: Final answer
    x = 610,604.47

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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.