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Finding the Third Proportional to 136,050 and 317,698.50

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Solution

The third proportional to 136,050 and 317,698.50 is: 741,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,050 : 317,698.50 = 317,698.50 : x
  2. Step 2: Convert to fraction form
    136,050/317,698.50 = 317,698.50/x
  3. Step 3: Cross multiply
    136,050x = 317,698.50 × 317,698.50
  4. Step 4: Simplify right side
    136,050x = 100,932,336,902.25
  5. Step 5: Solve for x
    x = 100,932,336,902.25/136,050
  6. Step 6: Final answer
    x = 741,876.79

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.