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Finding the Third Proportional to 140,988 and 215,946

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Solution

The third proportional to 140,988 and 215,946 is: 330,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,988 : 215,946 = 215,946 : x
  2. Step 2: Convert to fraction form
    140,988/215,946 = 215,946/x
  3. Step 3: Cross multiply
    140,988x = 215,946 × 215,946
  4. Step 4: Simplify right side
    140,988x = 46,632,674,916
  5. Step 5: Solve for x
    x = 46,632,674,916/140,988
  6. Step 6: Final answer
    x = 330,756.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.