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Finding the Third Proportional to 113,532 and 243,357

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Solution

The third proportional to 113,532 and 243,357 is: 521,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,532 : 243,357 = 243,357 : x
  2. Step 2: Convert to fraction form
    113,532/243,357 = 243,357/x
  3. Step 3: Cross multiply
    113,532x = 243,357 × 243,357
  4. Step 4: Simplify right side
    113,532x = 59,222,629,449
  5. Step 5: Solve for x
    x = 59,222,629,449/113,532
  6. Step 6: Final answer
    x = 521,638.21

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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.