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Finding the Third Proportional to 130,065.33 and 283,765.57

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Solution

The third proportional to 130,065.33 and 283,765.57 is: 619,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,065.33 : 283,765.57 = 283,765.57 : x
  2. Step 2: Convert to fraction form
    130,065.33/283,765.57 = 283,765.57/x
  3. Step 3: Cross multiply
    130,065.33x = 283,765.57 × 283,765.57
  4. Step 4: Simplify right side
    130,065.33x = 80,522,898,894.78
  5. Step 5: Solve for x
    x = 80,522,898,894.78/130,065.33
  6. Step 6: Final answer
    x = 619,095.80

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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.