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Finding the Third Proportional to 140,445.94 and 307,167.19

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Solution

The third proportional to 140,445.94 and 307,167.19 is: 671,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,445.94 : 307,167.19 = 307,167.19 : x
  2. Step 2: Convert to fraction form
    140,445.94/307,167.19 = 307,167.19/x
  3. Step 3: Cross multiply
    140,445.94x = 307,167.19 × 307,167.19
  4. Step 4: Simplify right side
    140,445.94x = 94,351,681,076.66
  5. Step 5: Solve for x
    x = 94,351,681,076.66/140,445.94
  6. Step 6: Final answer
    x = 671,800.71

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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.