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Finding the Third Proportional to 162,850.50 and 358,836.75

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Solution

The third proportional to 162,850.50 and 358,836.75 is: 790,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,850.50 : 358,836.75 = 358,836.75 : x
  2. Step 2: Convert to fraction form
    162,850.50/358,836.75 = 358,836.75/x
  3. Step 3: Cross multiply
    162,850.50x = 358,836.75 × 358,836.75
  4. Step 4: Simplify right side
    162,850.50x = 128,763,813,150.56
  5. Step 5: Solve for x
    x = 128,763,813,150.56/162,850.50
  6. Step 6: Final answer
    x = 790,687.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.