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Finding the Third Proportional to 95,973.75 and 224,284.50

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Solution

The third proportional to 95,973.75 and 224,284.50 is: 524,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,973.75 : 224,284.50 = 224,284.50 : x
  2. Step 2: Convert to fraction form
    95,973.75/224,284.50 = 224,284.50/x
  3. Step 3: Cross multiply
    95,973.75x = 224,284.50 × 224,284.50
  4. Step 4: Simplify right side
    95,973.75x = 50,303,536,940.25
  5. Step 5: Solve for x
    x = 50,303,536,940.25/95,973.75
  6. Step 6: Final answer
    x = 524,138.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.