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Finding the Third Proportional to 242,962.03 and 519,139.13

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Solution

The third proportional to 242,962.03 and 519,139.13 is: 1,109,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,962.03 : 519,139.13 = 519,139.13 : x
  2. Step 2: Convert to fraction form
    242,962.03/519,139.13 = 519,139.13/x
  3. Step 3: Cross multiply
    242,962.03x = 519,139.13 × 519,139.13
  4. Step 4: Simplify right side
    242,962.03x = 269,505,431,105.77
  5. Step 5: Solve for x
    x = 269,505,431,105.77/242,962.03
  6. Step 6: Final answer
    x = 1,109,249.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.