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Finding the Third Proportional to 140,188.13 and 307,517.06

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Solution

The third proportional to 140,188.13 and 307,517.06 is: 674,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,188.13 : 307,517.06 = 307,517.06 : x
  2. Step 2: Convert to fraction form
    140,188.13/307,517.06 = 307,517.06/x
  3. Step 3: Cross multiply
    140,188.13x = 307,517.06 × 307,517.06
  4. Step 4: Simplify right side
    140,188.13x = 94,566,743,728.63
  5. Step 5: Solve for x
    x = 94,566,743,728.63/140,188.13
  6. Step 6: Final answer
    x = 674,570.29

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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.