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Finding the Third Proportional to 134,946 and 290,651.34

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Solution

The third proportional to 134,946 and 290,651.34 is: 626,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 290,651.34 = 290,651.34 : x
  2. Step 2: Convert to fraction form
    134,946/290,651.34 = 290,651.34/x
  3. Step 3: Cross multiply
    134,946x = 290,651.34 × 290,651.34
  4. Step 4: Simplify right side
    134,946x = 84,478,203,623.68
  5. Step 5: Solve for x
    x = 84,478,203,623.68/134,946
  6. Step 6: Final answer
    x = 626,014.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.