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Finding the Third Proportional to 113,322 and 240,103.50

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Solution

The third proportional to 113,322 and 240,103.50 is: 508,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,322 : 240,103.50 = 240,103.50 : x
  2. Step 2: Convert to fraction form
    113,322/240,103.50 = 240,103.50/x
  3. Step 3: Cross multiply
    113,322x = 240,103.50 × 240,103.50
  4. Step 4: Simplify right side
    113,322x = 57,649,690,712.25
  5. Step 5: Solve for x
    x = 57,649,690,712.25/113,322
  6. Step 6: Final answer
    x = 508,724.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.