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Finding the Third Proportional to 113,150 and 243,832

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Solution

The third proportional to 113,150 and 243,832 is: 525,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,150 : 243,832 = 243,832 : x
  2. Step 2: Convert to fraction form
    113,150/243,832 = 243,832/x
  3. Step 3: Cross multiply
    113,150x = 243,832 × 243,832
  4. Step 4: Simplify right side
    113,150x = 59,454,044,224
  5. Step 5: Solve for x
    x = 59,454,044,224/113,150
  6. Step 6: Final answer
    x = 525,444.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.