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Finding the Third Proportional to 113,519.75 and 243,339.25

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Solution

The third proportional to 113,519.75 and 243,339.25 is: 521,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,519.75 : 243,339.25 = 243,339.25 : x
  2. Step 2: Convert to fraction form
    113,519.75/243,339.25 = 243,339.25/x
  3. Step 3: Cross multiply
    113,519.75x = 243,339.25 × 243,339.25
  4. Step 4: Simplify right side
    113,519.75x = 59,213,990,590.56
  5. Step 5: Solve for x
    x = 59,213,990,590.56/113,519.75
  6. Step 6: Final answer
    x = 521,618.40

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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.