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Finding the Third Proportional to 130,817.53 and 200,550.94

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Solution

The third proportional to 130,817.53 and 200,550.94 is: 307,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,817.53 : 200,550.94 = 200,550.94 : x
  2. Step 2: Convert to fraction form
    130,817.53/200,550.94 = 200,550.94/x
  3. Step 3: Cross multiply
    130,817.53x = 200,550.94 × 200,550.94
  4. Step 4: Simplify right side
    130,817.53x = 40,220,678,532.13
  5. Step 5: Solve for x
    x = 40,220,678,532.13/130,817.53
  6. Step 6: Final answer
    x = 307,456.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.