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Finding the Third Proportional to 154,261.13 and 343,969.88

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Solution

The third proportional to 154,261.13 and 343,969.88 is: 766,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,261.13 : 343,969.88 = 343,969.88 : x
  2. Step 2: Convert to fraction form
    154,261.13/343,969.88 = 343,969.88/x
  3. Step 3: Cross multiply
    154,261.13x = 343,969.88 × 343,969.88
  4. Step 4: Simplify right side
    154,261.13x = 118,315,274,907.52
  5. Step 5: Solve for x
    x = 118,315,274,907.52/154,261.13
  6. Step 6: Final answer
    x = 766,980.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.