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Finding the Third Proportional to 130,453.50 and 274,924.50

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Solution

The third proportional to 130,453.50 and 274,924.50 is: 579,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,453.50 : 274,924.50 = 274,924.50 : x
  2. Step 2: Convert to fraction form
    130,453.50/274,924.50 = 274,924.50/x
  3. Step 3: Cross multiply
    130,453.50x = 274,924.50 × 274,924.50
  4. Step 4: Simplify right side
    130,453.50x = 75,583,480,700.25
  5. Step 5: Solve for x
    x = 75,583,480,700.25/130,453.50
  6. Step 6: Final answer
    x = 579,390.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.