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Finding the Third Proportional to 242,848.13 and 339,687.84

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Solution

The third proportional to 242,848.13 and 339,687.84 is: 475,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,848.13 : 339,687.84 = 339,687.84 : x
  2. Step 2: Convert to fraction form
    242,848.13/339,687.84 = 339,687.84/x
  3. Step 3: Cross multiply
    242,848.13x = 339,687.84 × 339,687.84
  4. Step 4: Simplify right side
    242,848.13x = 115,387,831,191.52
  5. Step 5: Solve for x
    x = 115,387,831,191.52/242,848.13
  6. Step 6: Final answer
    x = 475,144.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.