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Finding the Third Proportional to 142,785.75 and 317,485.50

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Solution

The third proportional to 142,785.75 and 317,485.50 is: 705,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,785.75 : 317,485.50 = 317,485.50 : x
  2. Step 2: Convert to fraction form
    142,785.75/317,485.50 = 317,485.50/x
  3. Step 3: Cross multiply
    142,785.75x = 317,485.50 × 317,485.50
  4. Step 4: Simplify right side
    142,785.75x = 100,797,042,710.25
  5. Step 5: Solve for x
    x = 100,797,042,710.25/142,785.75
  6. Step 6: Final answer
    x = 705,932.09

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.