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Finding the Third Proportional to 140,302.50 and 307,416

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Solution

The third proportional to 140,302.50 and 307,416 is: 673,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,302.50 : 307,416 = 307,416 : x
  2. Step 2: Convert to fraction form
    140,302.50/307,416 = 307,416/x
  3. Step 3: Cross multiply
    140,302.50x = 307,416 × 307,416
  4. Step 4: Simplify right side
    140,302.50x = 94,504,597,056
  5. Step 5: Solve for x
    x = 94,504,597,056/140,302.50
  6. Step 6: Final answer
    x = 673,577.43

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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.