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Finding the Third Proportional to 107,374 and 242,588

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Solution

The third proportional to 107,374 and 242,588 is: 548,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,374 : 242,588 = 242,588 : x
  2. Step 2: Convert to fraction form
    107,374/242,588 = 242,588/x
  3. Step 3: Cross multiply
    107,374x = 242,588 × 242,588
  4. Step 4: Simplify right side
    107,374x = 58,848,937,744
  5. Step 5: Solve for x
    x = 58,848,937,744/107,374
  6. Step 6: Final answer
    x = 548,074.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.