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Finding the Third Proportional to 140,187.94 and 307,516.69

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Solution

The third proportional to 140,187.94 and 307,516.69 is: 674,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187.94 : 307,516.69 = 307,516.69 : x
  2. Step 2: Convert to fraction form
    140,187.94/307,516.69 = 307,516.69/x
  3. Step 3: Cross multiply
    140,187.94x = 307,516.69 × 307,516.69
  4. Step 4: Simplify right side
    140,187.94x = 94,566,513,090.97
  5. Step 5: Solve for x
    x = 94,566,513,090.97/140,187.94
  6. Step 6: Final answer
    x = 674,569.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.