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Finding the Third Proportional to 135,828.93 and 294,992.98

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Solution

The third proportional to 135,828.93 and 294,992.98 is: 640,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,828.93 : 294,992.98 = 294,992.98 : x
  2. Step 2: Convert to fraction form
    135,828.93/294,992.98 = 294,992.98/x
  3. Step 3: Cross multiply
    135,828.93x = 294,992.98 × 294,992.98
  4. Step 4: Simplify right side
    135,828.93x = 87,020,859,678.16
  5. Step 5: Solve for x
    x = 87,020,859,678.16/135,828.93
  6. Step 6: Final answer
    x = 640,665.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.