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Finding the Third Proportional to 140,014.50 and 307,242

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Solution

The third proportional to 140,014.50 and 307,242 is: 674,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,014.50 : 307,242 = 307,242 : x
  2. Step 2: Convert to fraction form
    140,014.50/307,242 = 307,242/x
  3. Step 3: Cross multiply
    140,014.50x = 307,242 × 307,242
  4. Step 4: Simplify right side
    140,014.50x = 94,397,646,564
  5. Step 5: Solve for x
    x = 94,397,646,564/140,014.50
  6. Step 6: Final answer
    x = 674,199.08

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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.