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Finding the Third Proportional to 109,219 and 233,623

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Solution

The third proportional to 109,219 and 233,623 is: 499,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,219 : 233,623 = 233,623 : x
  2. Step 2: Convert to fraction form
    109,219/233,623 = 233,623/x
  3. Step 3: Cross multiply
    109,219x = 233,623 × 233,623
  4. Step 4: Simplify right side
    109,219x = 54,579,706,129
  5. Step 5: Solve for x
    x = 54,579,706,129/109,219
  6. Step 6: Final answer
    x = 499,727.21

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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.