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Finding the Third Proportional to 130,150.55 and 285,228.84

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Solution

The third proportional to 130,150.55 and 285,228.84 is: 625,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,150.55 : 285,228.84 = 285,228.84 : x
  2. Step 2: Convert to fraction form
    130,150.55/285,228.84 = 285,228.84/x
  3. Step 3: Cross multiply
    130,150.55x = 285,228.84 × 285,228.84
  4. Step 4: Simplify right side
    130,150.55x = 81,355,493,306.96
  5. Step 5: Solve for x
    x = 81,355,493,306.96/130,150.55
  6. Step 6: Final answer
    x = 625,087.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.