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Finding the Third Proportional to 135,951.75 and 294,303.38

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Solution

The third proportional to 135,951.75 and 294,303.38 is: 637,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,951.75 : 294,303.38 = 294,303.38 : x
  2. Step 2: Convert to fraction form
    135,951.75/294,303.38 = 294,303.38/x
  3. Step 3: Cross multiply
    135,951.75x = 294,303.38 × 294,303.38
  4. Step 4: Simplify right side
    135,951.75x = 86,614,476,536.39
  5. Step 5: Solve for x
    x = 86,614,476,536.39/135,951.75
  6. Step 6: Final answer
    x = 637,097.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.