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Finding the Third Proportional to 113,518.50 and 243,336

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Solution

The third proportional to 113,518.50 and 243,336 is: 521,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,518.50 : 243,336 = 243,336 : x
  2. Step 2: Convert to fraction form
    113,518.50/243,336 = 243,336/x
  3. Step 3: Cross multiply
    113,518.50x = 243,336 × 243,336
  4. Step 4: Simplify right side
    113,518.50x = 59,212,408,896
  5. Step 5: Solve for x
    x = 59,212,408,896/113,518.50
  6. Step 6: Final answer
    x = 521,610.21

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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.