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Finding the Third Proportional to 130,003.50 and 283,935

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Solution

The third proportional to 130,003.50 and 283,935 is: 620,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003.50 : 283,935 = 283,935 : x
  2. Step 2: Convert to fraction form
    130,003.50/283,935 = 283,935/x
  3. Step 3: Cross multiply
    130,003.50x = 283,935 × 283,935
  4. Step 4: Simplify right side
    130,003.50x = 80,619,084,225
  5. Step 5: Solve for x
    x = 80,619,084,225/130,003.50
  6. Step 6: Final answer
    x = 620,130.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.