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Finding the Third Proportional to 140,448.94 and 307,173.94

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Solution

The third proportional to 140,448.94 and 307,173.94 is: 671,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,448.94 : 307,173.94 = 307,173.94 : x
  2. Step 2: Convert to fraction form
    140,448.94/307,173.94 = 307,173.94/x
  3. Step 3: Cross multiply
    140,448.94x = 307,173.94 × 307,173.94
  4. Step 4: Simplify right side
    140,448.94x = 94,355,827,879.25
  5. Step 5: Solve for x
    x = 94,355,827,879.25/140,448.94
  6. Step 6: Final answer
    x = 671,815.89

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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.