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Finding the Third Proportional to 130,380 and 313,984.50

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Solution

The third proportional to 130,380 and 313,984.50 is: 756,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,380 : 313,984.50 = 313,984.50 : x
  2. Step 2: Convert to fraction form
    130,380/313,984.50 = 313,984.50/x
  3. Step 3: Cross multiply
    130,380x = 313,984.50 × 313,984.50
  4. Step 4: Simplify right side
    130,380x = 98,586,266,240.25
  5. Step 5: Solve for x
    x = 98,586,266,240.25/130,380
  6. Step 6: Final answer
    x = 756,145.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.